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Simplifying 7(x + 1) + 8 = 6(x + -3) Reorder the terms: 7(1 + x) + 8 = 6(x + -3) (1 * 7 + x * 7) + 8 = 6(x + -3) (7 + 7x) + 8 = 6(x + -3) Reorder the terms: 7 + 8 + 7x = 6(x + -3) Combine like terms: 7 + 8 = 15 15 + 7x = 6(x + -3) Reorder the terms: 15 + 7x = 6(-3 + x) 15 + 7x = (-3 * 6 + x * 6) 15 + 7x = (-18 + 6x) Solving 15 + 7x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 7x + -6x = -18 + 6x + -6x Combine like terms: 7x + -6x = 1x 15 + 1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 1x = -18 + 0 15 + 1x = -18 Add '-15' to each side of the equation. 15 + -15 + 1x = -18 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -18 + -15 1x = -18 + -15 Combine like terms: -18 + -15 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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