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Simplifying 6(2x + -5) + -12 = 15 + 3(x + -1) Reorder the terms: 6(-5 + 2x) + -12 = 15 + 3(x + -1) (-5 * 6 + 2x * 6) + -12 = 15 + 3(x + -1) (-30 + 12x) + -12 = 15 + 3(x + -1) Reorder the terms: -30 + -12 + 12x = 15 + 3(x + -1) Combine like terms: -30 + -12 = -42 -42 + 12x = 15 + 3(x + -1) Reorder the terms: -42 + 12x = 15 + 3(-1 + x) -42 + 12x = 15 + (-1 * 3 + x * 3) -42 + 12x = 15 + (-3 + 3x) Combine like terms: 15 + -3 = 12 -42 + 12x = 12 + 3x Solving -42 + 12x = 12 + 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. -42 + 12x + -3x = 12 + 3x + -3x Combine like terms: 12x + -3x = 9x -42 + 9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 9x = 12 + 0 -42 + 9x = 12 Add '42' to each side of the equation. -42 + 42 + 9x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 12 + 42 9x = 12 + 42 Combine like terms: 12 + 42 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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