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Simplifying 7(x + 1) + 3 = 8x + -4 Reorder the terms: 7(1 + x) + 3 = 8x + -4 (1 * 7 + x * 7) + 3 = 8x + -4 (7 + 7x) + 3 = 8x + -4 Reorder the terms: 7 + 3 + 7x = 8x + -4 Combine like terms: 7 + 3 = 10 10 + 7x = 8x + -4 Reorder the terms: 10 + 7x = -4 + 8x Solving 10 + 7x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 7x + -8x = -4 + 8x + -8x Combine like terms: 7x + -8x = -1x 10 + -1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -1x = -4 + 0 10 + -1x = -4 Add '-10' to each side of the equation. 10 + -10 + -1x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -4 + -10 -1x = -4 + -10 Combine like terms: -4 + -10 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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