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Simplifying 4(x + -2) + 2x = 3(x + -1) + -11 Reorder the terms: 4(-2 + x) + 2x = 3(x + -1) + -11 (-2 * 4 + x * 4) + 2x = 3(x + -1) + -11 (-8 + 4x) + 2x = 3(x + -1) + -11 Combine like terms: 4x + 2x = 6x -8 + 6x = 3(x + -1) + -11 Reorder the terms: -8 + 6x = 3(-1 + x) + -11 -8 + 6x = (-1 * 3 + x * 3) + -11 -8 + 6x = (-3 + 3x) + -11 Reorder the terms: -8 + 6x = -3 + -11 + 3x Combine like terms: -3 + -11 = -14 -8 + 6x = -14 + 3x Solving -8 + 6x = -14 + 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. -8 + 6x + -3x = -14 + 3x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 3x = -14 + 0 -8 + 3x = -14 Add '8' to each side of the equation. -8 + 8 + 3x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -14 + 8 3x = -14 + 8 Combine like terms: -14 + 8 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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