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Simplifying 11x + 5(3 + -2x) = 1 + -2(-3x + 3) 11x + (3 * 5 + -2x * 5) = 1 + -2(-3x + 3) 11x + (15 + -10x) = 1 + -2(-3x + 3) Reorder the terms: 15 + 11x + -10x = 1 + -2(-3x + 3) Combine like terms: 11x + -10x = 1x 15 + 1x = 1 + -2(-3x + 3) Reorder the terms: 15 + 1x = 1 + -2(3 + -3x) 15 + 1x = 1 + (3 * -2 + -3x * -2) 15 + 1x = 1 + (-6 + 6x) Combine like terms: 1 + -6 = -5 15 + 1x = -5 + 6x Solving 15 + 1x = -5 + 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 = -5 + 6x + -6x Combine like terms: 1x + -6x = -5x 15 + -5x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -5x = -5 + 0 15 + -5x = -5 Add '-15' to each side of the equation. 15 + -15 + -5x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -5 + -15 -5x = -5 + -15 Combine like terms: -5 + -15 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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