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Simplifying 3(2x + -4) + -1(x + 5) = 10x Reorder the terms: 3(-4 + 2x) + -1(x + 5) = 10x (-4 * 3 + 2x * 3) + -1(x + 5) = 10x (-12 + 6x) + -1(x + 5) = 10x Reorder the terms: -12 + 6x + -1(5 + x) = 10x -12 + 6x + (5 * -1 + x * -1) = 10x -12 + 6x + (-5 + -1x) = 10x Reorder the terms: -12 + -5 + 6x + -1x = 10x Combine like terms: -12 + -5 = -17 -17 + 6x + -1x = 10x Combine like terms: 6x + -1x = 5x -17 + 5x = 10x Solving -17 + 5x = 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. -17 + 5x + -10x = 10x + -10x Combine like terms: 5x + -10x = -5x -17 + -5x = 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -5x = 0 Add '17' to each side of the equation. -17 + 17 + -5x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = 0 + 17 -5x = 0 + 17 Combine like terms: 0 + 17 = 17 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4
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