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Simplifying 8(5x + -1) + 12 = 7(x + 7) Reorder the terms: 8(-1 + 5x) + 12 = 7(x + 7) (-1 * 8 + 5x * 8) + 12 = 7(x + 7) (-8 + 40x) + 12 = 7(x + 7) Reorder the terms: -8 + 12 + 40x = 7(x + 7) Combine like terms: -8 + 12 = 4 4 + 40x = 7(x + 7) Reorder the terms: 4 + 40x = 7(7 + x) 4 + 40x = (7 * 7 + x * 7) 4 + 40x = (49 + 7x) Solving 4 + 40x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 40x + -7x = 49 + 7x + -7x Combine like terms: 40x + -7x = 33x 4 + 33x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 33x = 49 + 0 4 + 33x = 49 Add '-4' to each side of the equation. 4 + -4 + 33x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 33x = 49 + -4 33x = 49 + -4 Combine like terms: 49 + -4 = 45 33x = 45 Divide each side by '33'. x = 1.363636364 Simplifying x = 1.363636364
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