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Simplifying -3(2x + -5) = 4(-3x + -6) + -3 Reorder the terms: -3(-5 + 2x) = 4(-3x + -6) + -3 (-5 * -3 + 2x * -3) = 4(-3x + -6) + -3 (15 + -6x) = 4(-3x + -6) + -3 Reorder the terms: 15 + -6x = 4(-6 + -3x) + -3 15 + -6x = (-6 * 4 + -3x * 4) + -3 15 + -6x = (-24 + -12x) + -3 Reorder the terms: 15 + -6x = -24 + -3 + -12x Combine like terms: -24 + -3 = -27 15 + -6x = -27 + -12x Solving 15 + -6x = -27 + -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 = -27 + -12x + 12x Combine like terms: -6x + 12x = 6x 15 + 6x = -27 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 6x = -27 + 0 15 + 6x = -27 Add '-15' to each side of the equation. 15 + -15 + 6x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -27 + -15 6x = -27 + -15 Combine like terms: -27 + -15 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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