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Simplifying 8x + -3 + -5x = 1 + 2(x + 7) Reorder the terms: -3 + 8x + -5x = 1 + 2(x + 7) Combine like terms: 8x + -5x = 3x -3 + 3x = 1 + 2(x + 7) Reorder the terms: -3 + 3x = 1 + 2(7 + x) -3 + 3x = 1 + (7 * 2 + x * 2) -3 + 3x = 1 + (14 + 2x) Combine like terms: 1 + 14 = 15 -3 + 3x = 15 + 2x Solving -3 + 3x = 15 + 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 + 3x + -2x = 15 + 2x + -2x Combine like terms: 3x + -2x = 1x -3 + 1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 1x = 15 + 0 -3 + 1x = 15 Add '3' to each side of the equation. -3 + 3 + 1x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 15 + 3 1x = 15 + 3 Combine like terms: 15 + 3 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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