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Simplifying 4x + -15(x + -1) = 2(-25 + -3x) Reorder the terms: 4x + -15(-1 + x) = 2(-25 + -3x) 4x + (-1 * -15 + x * -15) = 2(-25 + -3x) 4x + (15 + -15x) = 2(-25 + -3x) Reorder the terms: 15 + 4x + -15x = 2(-25 + -3x) Combine like terms: 4x + -15x = -11x 15 + -11x = 2(-25 + -3x) 15 + -11x = (-25 * 2 + -3x * 2) 15 + -11x = (-50 + -6x) Solving 15 + -11x = -50 + -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. 15 + -11x + 6x = -50 + -6x + 6x Combine like terms: -11x + 6x = -5x 15 + -5x = -50 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + -5x = -50 + 0 15 + -5x = -50 Add '-15' to each side of the equation. 15 + -15 + -5x = -50 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -50 + -15 -5x = -50 + -15 Combine like terms: -50 + -15 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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