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Simplifying 3(2x + 5) + -2(4x + 1) = 5(x + 3) + -2 Reorder the terms: 3(5 + 2x) + -2(4x + 1) = 5(x + 3) + -2 (5 * 3 + 2x * 3) + -2(4x + 1) = 5(x + 3) + -2 (15 + 6x) + -2(4x + 1) = 5(x + 3) + -2 Reorder the terms: 15 + 6x + -2(1 + 4x) = 5(x + 3) + -2 15 + 6x + (1 * -2 + 4x * -2) = 5(x + 3) + -2 15 + 6x + (-2 + -8x) = 5(x + 3) + -2 Reorder the terms: 15 + -2 + 6x + -8x = 5(x + 3) + -2 Combine like terms: 15 + -2 = 13 13 + 6x + -8x = 5(x + 3) + -2 Combine like terms: 6x + -8x = -2x 13 + -2x = 5(x + 3) + -2 Reorder the terms: 13 + -2x = 5(3 + x) + -2 13 + -2x = (3 * 5 + x * 5) + -2 13 + -2x = (15 + 5x) + -2 Reorder the terms: 13 + -2x = 15 + -2 + 5x Combine like terms: 15 + -2 = 13 13 + -2x = 13 + 5x Add '-13' to each side of the equation. 13 + -13 + -2x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 0 + -2x = 13 + -13 + 5x -2x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 -2x = 0 + 5x -2x = 5x Solving -2x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2x + -5x = 5x + -5x Combine like terms: -2x + -5x = -7x -7x = 5x + -5x Combine like terms: 5x + -5x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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