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Simplifying 3x + -1(x + -4) = 7 + -1(2x + -3) Reorder the terms: 3x + -1(-4 + x) = 7 + -1(2x + -3) 3x + (-4 * -1 + x * -1) = 7 + -1(2x + -3) 3x + (4 + -1x) = 7 + -1(2x + -3) Reorder the terms: 4 + 3x + -1x = 7 + -1(2x + -3) Combine like terms: 3x + -1x = 2x 4 + 2x = 7 + -1(2x + -3) Reorder the terms: 4 + 2x = 7 + -1(-3 + 2x) 4 + 2x = 7 + (-3 * -1 + 2x * -1) 4 + 2x = 7 + (3 + -2x) Combine like terms: 7 + 3 = 10 4 + 2x = 10 + -2x Solving 4 + 2x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 2x + 2x = 10 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = 10 + 0 4 + 4x = 10 Add '-4' to each side of the equation. 4 + -4 + 4x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 10 + -4 4x = 10 + -4 Combine like terms: 10 + -4 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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