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Simplifying (5x + -2) = (3x + 10) * 8 Reorder the terms: (-2 + 5x) = (3x + 10) * 8 Remove parenthesis around (-2 + 5x) -2 + 5x = (3x + 10) * 8 Reorder the terms: -2 + 5x = (10 + 3x) * 8 Reorder the terms for easier multiplication: -2 + 5x = 8(10 + 3x) -2 + 5x = (10 * 8 + 3x * 8) -2 + 5x = (80 + 24x) Solving -2 + 5x = 80 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -2 + 5x + -24x = 80 + 24x + -24x Combine like terms: 5x + -24x = -19x -2 + -19x = 80 + 24x + -24x Combine like terms: 24x + -24x = 0 -2 + -19x = 80 + 0 -2 + -19x = 80 Add '2' to each side of the equation. -2 + 2 + -19x = 80 + 2 Combine like terms: -2 + 2 = 0 0 + -19x = 80 + 2 -19x = 80 + 2 Combine like terms: 80 + 2 = 82 -19x = 82 Divide each side by '-19'. x = -4.315789474 Simplifying x = -4.315789474
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