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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 = 37 6 + -3x = 37 + 10x Solving 6 + -3x = 37 + 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 = 37 + 10x + -10x Combine like terms: -3x + -10x = -13x 6 + -13x = 37 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -13x = 37 + 0 6 + -13x = 37 Add '-6' to each side of the equation. 6 + -6 + -13x = 37 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 37 + -6 -13x = 37 + -6 Combine like terms: 37 + -6 = 31 -13x = 31 Divide each side by '-13'. x = -2.384615385 Simplifying x = -2.384615385
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