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Simplifying 3(x + -4) + -5(x + 3) = 8 + -1x Reorder the terms: 3(-4 + x) + -5(x + 3) = 8 + -1x (-4 * 3 + x * 3) + -5(x + 3) = 8 + -1x (-12 + 3x) + -5(x + 3) = 8 + -1x Reorder the terms: -12 + 3x + -5(3 + x) = 8 + -1x -12 + 3x + (3 * -5 + x * -5) = 8 + -1x -12 + 3x + (-15 + -5x) = 8 + -1x Reorder the terms: -12 + -15 + 3x + -5x = 8 + -1x Combine like terms: -12 + -15 = -27 -27 + 3x + -5x = 8 + -1x Combine like terms: 3x + -5x = -2x -27 + -2x = 8 + -1x Solving -27 + -2x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + -2x + x = 8 + -1x + x Combine like terms: -2x + x = -1x -27 + -1x = 8 + -1x + x Combine like terms: -1x + x = 0 -27 + -1x = 8 + 0 -27 + -1x = 8 Add '27' to each side of the equation. -27 + 27 + -1x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 8 + 27 -1x = 8 + 27 Combine like terms: 8 + 27 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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