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Simplifying -7(3x + -1) + 8x = 5(x + 1) Reorder the terms: -7(-1 + 3x) + 8x = 5(x + 1) (-1 * -7 + 3x * -7) + 8x = 5(x + 1) (7 + -21x) + 8x = 5(x + 1) Combine like terms: -21x + 8x = -13x 7 + -13x = 5(x + 1) Reorder the terms: 7 + -13x = 5(1 + x) 7 + -13x = (1 * 5 + x * 5) 7 + -13x = (5 + 5x) Solving 7 + -13x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -13x + -5x = 5 + 5x + -5x Combine like terms: -13x + -5x = -18x 7 + -18x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -18x = 5 + 0 7 + -18x = 5 Add '-7' to each side of the equation. 7 + -7 + -18x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -18x = 5 + -7 -18x = 5 + -7 Combine like terms: 5 + -7 = -2 -18x = -2 Divide each side by '-18'. x = 0.1111111111 Simplifying x = 0.1111111111
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