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Simplifying 3(x + -4) = 5(1 + x) + -4(3 + -2x) Reorder the terms: 3(-4 + x) = 5(1 + x) + -4(3 + -2x) (-4 * 3 + x * 3) = 5(1 + x) + -4(3 + -2x) (-12 + 3x) = 5(1 + x) + -4(3 + -2x) -12 + 3x = (1 * 5 + x * 5) + -4(3 + -2x) -12 + 3x = (5 + 5x) + -4(3 + -2x) -12 + 3x = 5 + 5x + (3 * -4 + -2x * -4) -12 + 3x = 5 + 5x + (-12 + 8x) Reorder the terms: -12 + 3x = 5 + -12 + 5x + 8x Combine like terms: 5 + -12 = -7 -12 + 3x = -7 + 5x + 8x Combine like terms: 5x + 8x = 13x -12 + 3x = -7 + 13x Solving -12 + 3x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -12 + 3x + -13x = -7 + 13x + -13x Combine like terms: 3x + -13x = -10x -12 + -10x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + -10x = -7 + 0 -12 + -10x = -7 Add '12' to each side of the equation. -12 + 12 + -10x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = -7 + 12 -10x = -7 + 12 Combine like terms: -7 + 12 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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