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Simplifying -3(2x + -5) = 4(3x + -4) Reorder the terms: -3(-5 + 2x) = 4(3x + -4) (-5 * -3 + 2x * -3) = 4(3x + -4) (15 + -6x) = 4(3x + -4) Reorder the terms: 15 + -6x = 4(-4 + 3x) 15 + -6x = (-4 * 4 + 3x * 4) 15 + -6x = (-16 + 12x) Solving 15 + -6x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + -6x + -12x = -16 + 12x + -12x Combine like terms: -6x + -12x = -18x 15 + -18x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -18x = -16 + 0 15 + -18x = -16 Add '-15' to each side of the equation. 15 + -15 + -18x = -16 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = -16 + -15 -18x = -16 + -15 Combine like terms: -16 + -15 = -31 -18x = -31 Divide each side by '-18'. x = 1.722222222 Simplifying x = 1.722222222
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