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Simplifying x + 3(x + 5) + -3(2x + 4) = 2(x + -6) + 3 Reorder the terms: x + 3(5 + x) + -3(2x + 4) = 2(x + -6) + 3 x + (5 * 3 + x * 3) + -3(2x + 4) = 2(x + -6) + 3 x + (15 + 3x) + -3(2x + 4) = 2(x + -6) + 3 Reorder the terms: x + 15 + 3x + -3(4 + 2x) = 2(x + -6) + 3 x + 15 + 3x + (4 * -3 + 2x * -3) = 2(x + -6) + 3 x + 15 + 3x + (-12 + -6x) = 2(x + -6) + 3 Reorder the terms: 15 + -12 + x + 3x + -6x = 2(x + -6) + 3 Combine like terms: 15 + -12 = 3 3 + x + 3x + -6x = 2(x + -6) + 3 Combine like terms: x + 3x = 4x 3 + 4x + -6x = 2(x + -6) + 3 Combine like terms: 4x + -6x = -2x 3 + -2x = 2(x + -6) + 3 Reorder the terms: 3 + -2x = 2(-6 + x) + 3 3 + -2x = (-6 * 2 + x * 2) + 3 3 + -2x = (-12 + 2x) + 3 Reorder the terms: 3 + -2x = -12 + 3 + 2x Combine like terms: -12 + 3 = -9 3 + -2x = -9 + 2x Solving 3 + -2x = -9 + 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 + -2x + -2x = -9 + 2x + -2x Combine like terms: -2x + -2x = -4x 3 + -4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -4x = -9 + 0 3 + -4x = -9 Add '-3' to each side of the equation. 3 + -3 + -4x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -9 + -3 -4x = -9 + -3 Combine like terms: -9 + -3 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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