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Simplifying 4x + -3(3x + -8) = 2(3x + -9) + 9x Reorder the terms: 4x + -3(-8 + 3x) = 2(3x + -9) + 9x 4x + (-8 * -3 + 3x * -3) = 2(3x + -9) + 9x 4x + (24 + -9x) = 2(3x + -9) + 9x Reorder the terms: 24 + 4x + -9x = 2(3x + -9) + 9x Combine like terms: 4x + -9x = -5x 24 + -5x = 2(3x + -9) + 9x Reorder the terms: 24 + -5x = 2(-9 + 3x) + 9x 24 + -5x = (-9 * 2 + 3x * 2) + 9x 24 + -5x = (-18 + 6x) + 9x Combine like terms: 6x + 9x = 15x 24 + -5x = -18 + 15x Solving 24 + -5x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + -5x + -15x = -18 + 15x + -15x Combine like terms: -5x + -15x = -20x 24 + -20x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -20x = -18 + 0 24 + -20x = -18 Add '-24' to each side of the equation. 24 + -24 + -20x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = -18 + -24 -20x = -18 + -24 Combine like terms: -18 + -24 = -42 -20x = -42 Divide each side by '-20'. x = 2.1 Simplifying x = 2.1
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