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Simplifying x + -3(x + -5) = 2(4x + -6) + -3 Reorder the terms: x + -3(-5 + x) = 2(4x + -6) + -3 x + (-5 * -3 + x * -3) = 2(4x + -6) + -3 x + (15 + -3x) = 2(4x + -6) + -3 Reorder the terms: 15 + x + -3x = 2(4x + -6) + -3 Combine like terms: x + -3x = -2x 15 + -2x = 2(4x + -6) + -3 Reorder the terms: 15 + -2x = 2(-6 + 4x) + -3 15 + -2x = (-6 * 2 + 4x * 2) + -3 15 + -2x = (-12 + 8x) + -3 Reorder the terms: 15 + -2x = -12 + -3 + 8x Combine like terms: -12 + -3 = -15 15 + -2x = -15 + 8x Solving 15 + -2x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -2x + -8x = -15 + 8x + -8x Combine like terms: -2x + -8x = -10x 15 + -10x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -10x = -15 + 0 15 + -10x = -15 Add '-15' to each side of the equation. 15 + -15 + -10x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -15 + -15 -10x = -15 + -15 Combine like terms: -15 + -15 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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