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Simplifying 7(5x + -4) + -1 = 8x Reorder the terms: 7(-4 + 5x) + -1 = 8x (-4 * 7 + 5x * 7) + -1 = 8x (-28 + 35x) + -1 = 8x Reorder the terms: -28 + -1 + 35x = 8x Combine like terms: -28 + -1 = -29 -29 + 35x = 8x Solving -29 + 35x = 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. -29 + 35x + -8x = 8x + -8x Combine like terms: 35x + -8x = 27x -29 + 27x = 8x + -8x Combine like terms: 8x + -8x = 0 -29 + 27x = 0 Add '29' to each side of the equation. -29 + 29 + 27x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 27x = 0 + 29 27x = 0 + 29 Combine like terms: 0 + 29 = 29 27x = 29 Divide each side by '27'. x = 1.074074074 Simplifying x = 1.074074074
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