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Simplifying 2(3x + 1) + -1(15 + -4x) = 2x + -13 Reorder the terms: 2(1 + 3x) + -1(15 + -4x) = 2x + -13 (1 * 2 + 3x * 2) + -1(15 + -4x) = 2x + -13 (2 + 6x) + -1(15 + -4x) = 2x + -13 2 + 6x + (15 * -1 + -4x * -1) = 2x + -13 2 + 6x + (-15 + 4x) = 2x + -13 Reorder the terms: 2 + -15 + 6x + 4x = 2x + -13 Combine like terms: 2 + -15 = -13 -13 + 6x + 4x = 2x + -13 Combine like terms: 6x + 4x = 10x -13 + 10x = 2x + -13 Reorder the terms: -13 + 10x = -13 + 2x Add '13' to each side of the equation. -13 + 13 + 10x = -13 + 13 + 2x Combine like terms: -13 + 13 = 0 0 + 10x = -13 + 13 + 2x 10x = -13 + 13 + 2x Combine like terms: -13 + 13 = 0 10x = 0 + 2x 10x = 2x Solving 10x = 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. 10x + -2x = 2x + -2x Combine like terms: 10x + -2x = 8x 8x = 2x + -2x Combine like terms: 2x + -2x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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