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Simplifying -2(15 + 4x) = 3(4 + -3x) (15 * -2 + 4x * -2) = 3(4 + -3x) (-30 + -8x) = 3(4 + -3x) -30 + -8x = (4 * 3 + -3x * 3) -30 + -8x = (12 + -9x) Solving -30 + -8x = 12 + -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. -30 + -8x + 9x = 12 + -9x + 9x Combine like terms: -8x + 9x = 1x -30 + 1x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -30 + 1x = 12 + 0 -30 + 1x = 12 Add '30' to each side of the equation. -30 + 30 + 1x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 12 + 30 1x = 12 + 30 Combine like terms: 12 + 30 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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