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Simplifying 5(x + -4) + -8(x + 20) = 32 + -7(x + -12) Reorder the terms: 5(-4 + x) + -8(x + 20) = 32 + -7(x + -12) (-4 * 5 + x * 5) + -8(x + 20) = 32 + -7(x + -12) (-20 + 5x) + -8(x + 20) = 32 + -7(x + -12) Reorder the terms: -20 + 5x + -8(20 + x) = 32 + -7(x + -12) -20 + 5x + (20 * -8 + x * -8) = 32 + -7(x + -12) -20 + 5x + (-160 + -8x) = 32 + -7(x + -12) Reorder the terms: -20 + -160 + 5x + -8x = 32 + -7(x + -12) Combine like terms: -20 + -160 = -180 -180 + 5x + -8x = 32 + -7(x + -12) Combine like terms: 5x + -8x = -3x -180 + -3x = 32 + -7(x + -12) Reorder the terms: -180 + -3x = 32 + -7(-12 + x) -180 + -3x = 32 + (-12 * -7 + x * -7) -180 + -3x = 32 + (84 + -7x) Combine like terms: 32 + 84 = 116 -180 + -3x = 116 + -7x Solving -180 + -3x = 116 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -180 + -3x + 7x = 116 + -7x + 7x Combine like terms: -3x + 7x = 4x -180 + 4x = 116 + -7x + 7x Combine like terms: -7x + 7x = 0 -180 + 4x = 116 + 0 -180 + 4x = 116 Add '180' to each side of the equation. -180 + 180 + 4x = 116 + 180 Combine like terms: -180 + 180 = 0 0 + 4x = 116 + 180 4x = 116 + 180 Combine like terms: 116 + 180 = 296 4x = 296 Divide each side by '4'. x = 74 Simplifying x = 74
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