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Simplifying 4x + -2(x + 7) = 3(x + -1) Reorder the terms: 4x + -2(7 + x) = 3(x + -1) 4x + (7 * -2 + x * -2) = 3(x + -1) 4x + (-14 + -2x) = 3(x + -1) Reorder the terms: -14 + 4x + -2x = 3(x + -1) Combine like terms: 4x + -2x = 2x -14 + 2x = 3(x + -1) Reorder the terms: -14 + 2x = 3(-1 + x) -14 + 2x = (-1 * 3 + x * 3) -14 + 2x = (-3 + 3x) Solving -14 + 2x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 2x + -3x = -3 + 3x + -3x Combine like terms: 2x + -3x = -1x -14 + -1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -1x = -3 + 0 -14 + -1x = -3 Add '14' to each side of the equation. -14 + 14 + -1x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -3 + 14 -1x = -3 + 14 Combine like terms: -3 + 14 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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