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Simplifying 4(2x + -3) + 5(2x + -3) = 3(2x + -3) Reorder the terms: 4(-3 + 2x) + 5(2x + -3) = 3(2x + -3) (-3 * 4 + 2x * 4) + 5(2x + -3) = 3(2x + -3) (-12 + 8x) + 5(2x + -3) = 3(2x + -3) Reorder the terms: -12 + 8x + 5(-3 + 2x) = 3(2x + -3) -12 + 8x + (-3 * 5 + 2x * 5) = 3(2x + -3) -12 + 8x + (-15 + 10x) = 3(2x + -3) Reorder the terms: -12 + -15 + 8x + 10x = 3(2x + -3) Combine like terms: -12 + -15 = -27 -27 + 8x + 10x = 3(2x + -3) Combine like terms: 8x + 10x = 18x -27 + 18x = 3(2x + -3) Reorder the terms: -27 + 18x = 3(-3 + 2x) -27 + 18x = (-3 * 3 + 2x * 3) -27 + 18x = (-9 + 6x) Solving -27 + 18x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 18x + -6x = -9 + 6x + -6x Combine like terms: 18x + -6x = 12x -27 + 12x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 12x = -9 + 0 -27 + 12x = -9 Add '27' to each side of the equation. -27 + 27 + 12x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = -9 + 27 12x = -9 + 27 Combine like terms: -9 + 27 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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