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Simplifying 2(-1x + -4) + -3 = 6(x + 6) + -3(x + 4) Reorder the terms: 2(-4 + -1x) + -3 = 6(x + 6) + -3(x + 4) (-4 * 2 + -1x * 2) + -3 = 6(x + 6) + -3(x + 4) (-8 + -2x) + -3 = 6(x + 6) + -3(x + 4) Reorder the terms: -8 + -3 + -2x = 6(x + 6) + -3(x + 4) Combine like terms: -8 + -3 = -11 -11 + -2x = 6(x + 6) + -3(x + 4) Reorder the terms: -11 + -2x = 6(6 + x) + -3(x + 4) -11 + -2x = (6 * 6 + x * 6) + -3(x + 4) -11 + -2x = (36 + 6x) + -3(x + 4) Reorder the terms: -11 + -2x = 36 + 6x + -3(4 + x) -11 + -2x = 36 + 6x + (4 * -3 + x * -3) -11 + -2x = 36 + 6x + (-12 + -3x) Reorder the terms: -11 + -2x = 36 + -12 + 6x + -3x Combine like terms: 36 + -12 = 24 -11 + -2x = 24 + 6x + -3x Combine like terms: 6x + -3x = 3x -11 + -2x = 24 + 3x Solving -11 + -2x = 24 + 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. -11 + -2x + -3x = 24 + 3x + -3x Combine like terms: -2x + -3x = -5x -11 + -5x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -5x = 24 + 0 -11 + -5x = 24 Add '11' to each side of the equation. -11 + 11 + -5x = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 24 + 11 -5x = 24 + 11 Combine like terms: 24 + 11 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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