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Simplifying 3(2x + -4) + -5 = 3(x + -5) + 10 Reorder the terms: 3(-4 + 2x) + -5 = 3(x + -5) + 10 (-4 * 3 + 2x * 3) + -5 = 3(x + -5) + 10 (-12 + 6x) + -5 = 3(x + -5) + 10 Reorder the terms: -12 + -5 + 6x = 3(x + -5) + 10 Combine like terms: -12 + -5 = -17 -17 + 6x = 3(x + -5) + 10 Reorder the terms: -17 + 6x = 3(-5 + x) + 10 -17 + 6x = (-5 * 3 + x * 3) + 10 -17 + 6x = (-15 + 3x) + 10 Reorder the terms: -17 + 6x = -15 + 10 + 3x Combine like terms: -15 + 10 = -5 -17 + 6x = -5 + 3x Solving -17 + 6x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 6x + -3x = -5 + 3x + -3x Combine like terms: 6x + -3x = 3x -17 + 3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 3x = -5 + 0 -17 + 3x = -5 Add '17' to each side of the equation. -17 + 17 + 3x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = -5 + 17 3x = -5 + 17 Combine like terms: -5 + 17 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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