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Simplifying 11x + 5(3 + -2x) = -2(-3x + 2) 11x + (3 * 5 + -2x * 5) = -2(-3x + 2) 11x + (15 + -10x) = -2(-3x + 2) Reorder the terms: 15 + 11x + -10x = -2(-3x + 2) Combine like terms: 11x + -10x = 1x 15 + 1x = -2(-3x + 2) Reorder the terms: 15 + 1x = -2(2 + -3x) 15 + 1x = (2 * -2 + -3x * -2) 15 + 1x = (-4 + 6x) Solving 15 + 1x = -4 + 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 + 1x + -6x = -4 + 6x + -6x Combine like terms: 1x + -6x = -5x 15 + -5x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -5x = -4 + 0 15 + -5x = -4 Add '-15' to each side of the equation. 15 + -15 + -5x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -4 + -15 -5x = -4 + -15 Combine like terms: -4 + -15 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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