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Simplifying 15 + -3x = -4(6x + 2) + -4(-3 + -5x) Reorder the terms: 15 + -3x = -4(2 + 6x) + -4(-3 + -5x) 15 + -3x = (2 * -4 + 6x * -4) + -4(-3 + -5x) 15 + -3x = (-8 + -24x) + -4(-3 + -5x) 15 + -3x = -8 + -24x + (-3 * -4 + -5x * -4) 15 + -3x = -8 + -24x + (12 + 20x) Reorder the terms: 15 + -3x = -8 + 12 + -24x + 20x Combine like terms: -8 + 12 = 4 15 + -3x = 4 + -24x + 20x Combine like terms: -24x + 20x = -4x 15 + -3x = 4 + -4x Solving 15 + -3x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -3x + 4x = 4 + -4x + 4x Combine like terms: -3x + 4x = 1x 15 + 1x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 1x = 4 + 0 15 + 1x = 4 Add '-15' to each side of the equation. 15 + -15 + 1x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 4 + -15 1x = 4 + -15 Combine like terms: 4 + -15 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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