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Simplifying 2 + -3(x + 1) = 8x + (x + -7) * 2 Reorder the terms: 2 + -3(1 + x) = 8x + (x + -7) * 2 2 + (1 * -3 + x * -3) = 8x + (x + -7) * 2 2 + (-3 + -3x) = 8x + (x + -7) * 2 Combine like terms: 2 + -3 = -1 -1 + -3x = 8x + (x + -7) * 2 Reorder the terms: -1 + -3x = 8x + (-7 + x) * 2 Reorder the terms for easier multiplication: -1 + -3x = 8x + 2(-7 + x) -1 + -3x = 8x + (-7 * 2 + x * 2) -1 + -3x = 8x + (-14 + 2x) Reorder the terms: -1 + -3x = -14 + 8x + 2x Combine like terms: 8x + 2x = 10x -1 + -3x = -14 + 10x Solving -1 + -3x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + -3x + -10x = -14 + 10x + -10x Combine like terms: -3x + -10x = -13x -1 + -13x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + -13x = -14 + 0 -1 + -13x = -14 Add '1' to each side of the equation. -1 + 1 + -13x = -14 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = -14 + 1 -13x = -14 + 1 Combine like terms: -14 + 1 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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