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Simplifying 3(2 + -1x) = 5(2x + -7) + 2 (2 * 3 + -1x * 3) = 5(2x + -7) + 2 (6 + -3x) = 5(2x + -7) + 2 Reorder the terms: 6 + -3x = 5(-7 + 2x) + 2 6 + -3x = (-7 * 5 + 2x * 5) + 2 6 + -3x = (-35 + 10x) + 2 Reorder the terms: 6 + -3x = -35 + 2 + 10x Combine like terms: -35 + 2 = -33 6 + -3x = -33 + 10x Solving 6 + -3x = -33 + 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. 6 + -3x + -10x = -33 + 10x + -10x Combine like terms: -3x + -10x = -13x 6 + -13x = -33 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -13x = -33 + 0 6 + -13x = -33 Add '-6' to each side of the equation. 6 + -6 + -13x = -33 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -33 + -6 -13x = -33 + -6 Combine like terms: -33 + -6 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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