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Simplifying 3(x + -4) + -1(-8x + -5) = 10x Reorder the terms: 3(-4 + x) + -1(-8x + -5) = 10x (-4 * 3 + x * 3) + -1(-8x + -5) = 10x (-12 + 3x) + -1(-8x + -5) = 10x Reorder the terms: -12 + 3x + -1(-5 + -8x) = 10x -12 + 3x + (-5 * -1 + -8x * -1) = 10x -12 + 3x + (5 + 8x) = 10x Reorder the terms: -12 + 5 + 3x + 8x = 10x Combine like terms: -12 + 5 = -7 -7 + 3x + 8x = 10x Combine like terms: 3x + 8x = 11x -7 + 11x = 10x Solving -7 + 11x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x -7 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 1x = 0 Add '7' to each side of the equation. -7 + 7 + 1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 0 + 7 1x = 0 + 7 Combine like terms: 0 + 7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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