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Simplifying 2(x + -8) + -1(x + -4) = 3 + 3(x + 5) Reorder the terms: 2(-8 + x) + -1(x + -4) = 3 + 3(x + 5) (-8 * 2 + x * 2) + -1(x + -4) = 3 + 3(x + 5) (-16 + 2x) + -1(x + -4) = 3 + 3(x + 5) Reorder the terms: -16 + 2x + -1(-4 + x) = 3 + 3(x + 5) -16 + 2x + (-4 * -1 + x * -1) = 3 + 3(x + 5) -16 + 2x + (4 + -1x) = 3 + 3(x + 5) Reorder the terms: -16 + 4 + 2x + -1x = 3 + 3(x + 5) Combine like terms: -16 + 4 = -12 -12 + 2x + -1x = 3 + 3(x + 5) Combine like terms: 2x + -1x = 1x -12 + 1x = 3 + 3(x + 5) Reorder the terms: -12 + 1x = 3 + 3(5 + x) -12 + 1x = 3 + (5 * 3 + x * 3) -12 + 1x = 3 + (15 + 3x) Combine like terms: 3 + 15 = 18 -12 + 1x = 18 + 3x Solving -12 + 1x = 18 + 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. -12 + 1x + -3x = 18 + 3x + -3x Combine like terms: 1x + -3x = -2x -12 + -2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -2x = 18 + 0 -12 + -2x = 18 Add '12' to each side of the equation. -12 + 12 + -2x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 18 + 12 -2x = 18 + 12 Combine like terms: 18 + 12 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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