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Simplifying 5(x + 3) + -6x = 2(2x + 1) + -4x Reorder the terms: 5(3 + x) + -6x = 2(2x + 1) + -4x (3 * 5 + x * 5) + -6x = 2(2x + 1) + -4x (15 + 5x) + -6x = 2(2x + 1) + -4x Combine like terms: 5x + -6x = -1x 15 + -1x = 2(2x + 1) + -4x Reorder the terms: 15 + -1x = 2(1 + 2x) + -4x 15 + -1x = (1 * 2 + 2x * 2) + -4x 15 + -1x = (2 + 4x) + -4x Combine like terms: 4x + -4x = 0 15 + -1x = 2 + 0 15 + -1x = 2 Solving 15 + -1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 2 + -15 -1x = 2 + -15 Combine like terms: 2 + -15 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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