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Simplifying 6(3x + -2) + -2(4x + -15) = 9x + 15 Reorder the terms: 6(-2 + 3x) + -2(4x + -15) = 9x + 15 (-2 * 6 + 3x * 6) + -2(4x + -15) = 9x + 15 (-12 + 18x) + -2(4x + -15) = 9x + 15 Reorder the terms: -12 + 18x + -2(-15 + 4x) = 9x + 15 -12 + 18x + (-15 * -2 + 4x * -2) = 9x + 15 -12 + 18x + (30 + -8x) = 9x + 15 Reorder the terms: -12 + 30 + 18x + -8x = 9x + 15 Combine like terms: -12 + 30 = 18 18 + 18x + -8x = 9x + 15 Combine like terms: 18x + -8x = 10x 18 + 10x = 9x + 15 Reorder the terms: 18 + 10x = 15 + 9x Solving 18 + 10x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 10x + -9x = 15 + 9x + -9x Combine like terms: 10x + -9x = 1x 18 + 1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 1x = 15 + 0 18 + 1x = 15 Add '-18' to each side of the equation. 18 + -18 + 1x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 15 + -18 1x = 15 + -18 Combine like terms: 15 + -18 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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