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Simplifying 3x + -1(-3 + x) = 5(2x + -11) 3x + (-3 * -1 + x * -1) = 5(2x + -11) 3x + (3 + -1x) = 5(2x + -11) Reorder the terms: 3 + 3x + -1x = 5(2x + -11) Combine like terms: 3x + -1x = 2x 3 + 2x = 5(2x + -11) Reorder the terms: 3 + 2x = 5(-11 + 2x) 3 + 2x = (-11 * 5 + 2x * 5) 3 + 2x = (-55 + 10x) Solving 3 + 2x = -55 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 2x + -10x = -55 + 10x + -10x Combine like terms: 2x + -10x = -8x 3 + -8x = -55 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -8x = -55 + 0 3 + -8x = -55 Add '-3' to each side of the equation. 3 + -3 + -8x = -55 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -55 + -3 -8x = -55 + -3 Combine like terms: -55 + -3 = -58 -8x = -58 Divide each side by '-8'. x = 7.25 Simplifying x = 7.25
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