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Simplifying 3 + -1(-3x + -4) + -1(5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4) Reorder the terms: 3 + -1(-4 + -3x) + -1(5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4) 3 + (-4 * -1 + -3x * -1) + -1(5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4) 3 + (4 + 3x) + -1(5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4) Reorder the terms: 3 + 4 + 3x + -1(4 + 5x + -3x) = -1(-1x + 7) + -1(6x + -4) Combine like terms: 5x + -3x = 2x 3 + 4 + 3x + -1(4 + 2x) = -1(-1x + 7) + -1(6x + -4) 3 + 4 + 3x + (4 * -1 + 2x * -1) = -1(-1x + 7) + -1(6x + -4) 3 + 4 + 3x + (-4 + -2x) = -1(-1x + 7) + -1(6x + -4) Reorder the terms: 3 + 4 + -4 + 3x + -2x = -1(-1x + 7) + -1(6x + -4) Combine like terms: 3 + 4 = 7 7 + -4 + 3x + -2x = -1(-1x + 7) + -1(6x + -4) Combine like terms: 7 + -4 = 3 3 + 3x + -2x = -1(-1x + 7) + -1(6x + -4) Combine like terms: 3x + -2x = 1x 3 + 1x = -1(-1x + 7) + -1(6x + -4) Reorder the terms: 3 + 1x = -1(7 + -1x) + -1(6x + -4) 3 + 1x = (7 * -1 + -1x * -1) + -1(6x + -4) 3 + 1x = (-7 + 1x) + -1(6x + -4) Reorder the terms: 3 + 1x = -7 + 1x + -1(-4 + 6x) 3 + 1x = -7 + 1x + (-4 * -1 + 6x * -1) 3 + 1x = -7 + 1x + (4 + -6x) Reorder the terms: 3 + 1x = -7 + 4 + 1x + -6x Combine like terms: -7 + 4 = -3 3 + 1x = -3 + 1x + -6x Combine like terms: 1x + -6x = -5x 3 + 1x = -3 + -5x Solving 3 + 1x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 1x + 5x = -3 + -5x + 5x Combine like terms: 1x + 5x = 6x 3 + 6x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 6x = -3 + 0 3 + 6x = -3 Add '-3' to each side of the equation. 3 + -3 + 6x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -3 + -3 6x = -3 + -3 Combine like terms: -3 + -3 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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