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Simplifying 3(5 + -1x) + -4(3x + -2) = 3 (5 * 3 + -1x * 3) + -4(3x + -2) = 3 (15 + -3x) + -4(3x + -2) = 3 Reorder the terms: 15 + -3x + -4(-2 + 3x) = 3 15 + -3x + (-2 * -4 + 3x * -4) = 3 15 + -3x + (8 + -12x) = 3 Reorder the terms: 15 + 8 + -3x + -12x = 3 Combine like terms: 15 + 8 = 23 23 + -3x + -12x = 3 Combine like terms: -3x + -12x = -15x 23 + -15x = 3 Solving 23 + -15x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -15x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -15x = 3 + -23 -15x = 3 + -23 Combine like terms: 3 + -23 = -20 -15x = -20 Divide each side by '-15'. x = 1.333333333 Simplifying x = 1.333333333
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