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Simplifying 3(2x + 1) = 5(3 + -1x) + 3(x + -2) Reorder the terms: 3(1 + 2x) = 5(3 + -1x) + 3(x + -2) (1 * 3 + 2x * 3) = 5(3 + -1x) + 3(x + -2) (3 + 6x) = 5(3 + -1x) + 3(x + -2) 3 + 6x = (3 * 5 + -1x * 5) + 3(x + -2) 3 + 6x = (15 + -5x) + 3(x + -2) Reorder the terms: 3 + 6x = 15 + -5x + 3(-2 + x) 3 + 6x = 15 + -5x + (-2 * 3 + x * 3) 3 + 6x = 15 + -5x + (-6 + 3x) Reorder the terms: 3 + 6x = 15 + -6 + -5x + 3x Combine like terms: 15 + -6 = 9 3 + 6x = 9 + -5x + 3x Combine like terms: -5x + 3x = -2x 3 + 6x = 9 + -2x Solving 3 + 6x = 9 + -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. 3 + 6x + 2x = 9 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 9 + 0 3 + 8x = 9 Add '-3' to each side of the equation. 3 + -3 + 8x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 9 + -3 8x = 9 + -3 Combine like terms: 9 + -3 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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