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Simplifying 4x + -3(x + 1) = -3 + 2(x + -6) Reorder the terms: 4x + -3(1 + x) = -3 + 2(x + -6) 4x + (1 * -3 + x * -3) = -3 + 2(x + -6) 4x + (-3 + -3x) = -3 + 2(x + -6) Reorder the terms: -3 + 4x + -3x = -3 + 2(x + -6) Combine like terms: 4x + -3x = 1x -3 + 1x = -3 + 2(x + -6) Reorder the terms: -3 + 1x = -3 + 2(-6 + x) -3 + 1x = -3 + (-6 * 2 + x * 2) -3 + 1x = -3 + (-12 + 2x) Combine like terms: -3 + -12 = -15 -3 + 1x = -15 + 2x Solving -3 + 1x = -15 + 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. -3 + 1x + -2x = -15 + 2x + -2x Combine like terms: 1x + -2x = -1x -3 + -1x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1x = -15 + 0 -3 + -1x = -15 Add '3' to each side of the equation. -3 + 3 + -1x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -15 + 3 -1x = -15 + 3 Combine like terms: -15 + 3 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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