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Simplifying 10(x + 1) = 2x + -7 Reorder the terms: 10(1 + x) = 2x + -7 (1 * 10 + x * 10) = 2x + -7 (10 + 10x) = 2x + -7 Reorder the terms: 10 + 10x = -7 + 2x Solving 10 + 10x = -7 + 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. 10 + 10x + -2x = -7 + 2x + -2x Combine like terms: 10x + -2x = 8x 10 + 8x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 8x = -7 + 0 10 + 8x = -7 Add '-10' to each side of the equation. 10 + -10 + 8x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -7 + -10 8x = -7 + -10 Combine like terms: -7 + -10 = -17 8x = -17 Divide each side by '8'. x = -2.125 Simplifying x = -2.125
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