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Simplifying 8(1 + x) + 7x = -2(-4 + -7x) + 2 (1 * 8 + x * 8) + 7x = -2(-4 + -7x) + 2 (8 + 8x) + 7x = -2(-4 + -7x) + 2 Combine like terms: 8x + 7x = 15x 8 + 15x = -2(-4 + -7x) + 2 8 + 15x = (-4 * -2 + -7x * -2) + 2 8 + 15x = (8 + 14x) + 2 Reorder the terms: 8 + 15x = 8 + 2 + 14x Combine like terms: 8 + 2 = 10 8 + 15x = 10 + 14x Solving 8 + 15x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 15x + -14x = 10 + 14x + -14x Combine like terms: 15x + -14x = 1x 8 + 1x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 1x = 10 + 0 8 + 1x = 10 Add '-8' to each side of the equation. 8 + -8 + 1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 10 + -8 1x = 10 + -8 Combine like terms: 10 + -8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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