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Simplifying 5(x + -12) + 2(x + 15) = x + -9 Reorder the terms: 5(-12 + x) + 2(x + 15) = x + -9 (-12 * 5 + x * 5) + 2(x + 15) = x + -9 (-60 + 5x) + 2(x + 15) = x + -9 Reorder the terms: -60 + 5x + 2(15 + x) = x + -9 -60 + 5x + (15 * 2 + x * 2) = x + -9 -60 + 5x + (30 + 2x) = x + -9 Reorder the terms: -60 + 30 + 5x + 2x = x + -9 Combine like terms: -60 + 30 = -30 -30 + 5x + 2x = x + -9 Combine like terms: 5x + 2x = 7x -30 + 7x = x + -9 Reorder the terms: -30 + 7x = -9 + x Solving -30 + 7x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 7x + -1x = -9 + x + -1x Combine like terms: 7x + -1x = 6x -30 + 6x = -9 + x + -1x Combine like terms: x + -1x = 0 -30 + 6x = -9 + 0 -30 + 6x = -9 Add '30' to each side of the equation. -30 + 30 + 6x = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = -9 + 30 6x = -9 + 30 Combine like terms: -9 + 30 = 21 6x = 21 Divide each side by '6'. x = 3.5 Simplifying x = 3.5
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