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Simplifying 3(x + -4) + -2 = 7 + -1(17 + -1x) Reorder the terms: 3(-4 + x) + -2 = 7 + -1(17 + -1x) (-4 * 3 + x * 3) + -2 = 7 + -1(17 + -1x) (-12 + 3x) + -2 = 7 + -1(17 + -1x) Reorder the terms: -12 + -2 + 3x = 7 + -1(17 + -1x) Combine like terms: -12 + -2 = -14 -14 + 3x = 7 + -1(17 + -1x) -14 + 3x = 7 + (17 * -1 + -1x * -1) -14 + 3x = 7 + (-17 + 1x) Combine like terms: 7 + -17 = -10 -14 + 3x = -10 + 1x Solving -14 + 3x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 3x + -1x = -10 + 1x + -1x Combine like terms: 3x + -1x = 2x -14 + 2x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 2x = -10 + 0 -14 + 2x = -10 Add '14' to each side of the equation. -14 + 14 + 2x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -10 + 14 2x = -10 + 14 Combine like terms: -10 + 14 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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