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Simplifying 5(x + 3) + -6x = 3(2x + 1) + -4x Reorder the terms: 5(3 + x) + -6x = 3(2x + 1) + -4x (3 * 5 + x * 5) + -6x = 3(2x + 1) + -4x (15 + 5x) + -6x = 3(2x + 1) + -4x Combine like terms: 5x + -6x = -1x 15 + -1x = 3(2x + 1) + -4x Reorder the terms: 15 + -1x = 3(1 + 2x) + -4x 15 + -1x = (1 * 3 + 2x * 3) + -4x 15 + -1x = (3 + 6x) + -4x Combine like terms: 6x + -4x = 2x 15 + -1x = 3 + 2x Solving 15 + -1x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -1x + -2x = 3 + 2x + -2x Combine like terms: -1x + -2x = -3x 15 + -3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -3x = 3 + 0 15 + -3x = 3 Add '-15' to each side of the equation. 15 + -15 + -3x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 3 + -15 -3x = 3 + -15 Combine like terms: 3 + -15 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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