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Simplifying -3x + 5 + -4(x + -1) = -1(2x + -3) + -4x + 4 Reorder the terms: -3x + 5 + -4(-1 + x) = -1(2x + -3) + -4x + 4 -3x + 5 + (-1 * -4 + x * -4) = -1(2x + -3) + -4x + 4 -3x + 5 + (4 + -4x) = -1(2x + -3) + -4x + 4 Reorder the terms: 5 + 4 + -3x + -4x = -1(2x + -3) + -4x + 4 Combine like terms: 5 + 4 = 9 9 + -3x + -4x = -1(2x + -3) + -4x + 4 Combine like terms: -3x + -4x = -7x 9 + -7x = -1(2x + -3) + -4x + 4 Reorder the terms: 9 + -7x = -1(-3 + 2x) + -4x + 4 9 + -7x = (-3 * -1 + 2x * -1) + -4x + 4 9 + -7x = (3 + -2x) + -4x + 4 Reorder the terms: 9 + -7x = 3 + 4 + -2x + -4x Combine like terms: 3 + 4 = 7 9 + -7x = 7 + -2x + -4x Combine like terms: -2x + -4x = -6x 9 + -7x = 7 + -6x Solving 9 + -7x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -7x + 6x = 7 + -6x + 6x Combine like terms: -7x + 6x = -1x 9 + -1x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + -1x = 7 + 0 9 + -1x = 7 Add '-9' to each side of the equation. 9 + -9 + -1x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 7 + -9 -1x = 7 + -9 Combine like terms: 7 + -9 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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