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Simplifying 8(5x + -1) = 19(2x + -2) Reorder the terms: 8(-1 + 5x) = 19(2x + -2) (-1 * 8 + 5x * 8) = 19(2x + -2) (-8 + 40x) = 19(2x + -2) Reorder the terms: -8 + 40x = 19(-2 + 2x) -8 + 40x = (-2 * 19 + 2x * 19) -8 + 40x = (-38 + 38x) Solving -8 + 40x = -38 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -8 + 40x + -38x = -38 + 38x + -38x Combine like terms: 40x + -38x = 2x -8 + 2x = -38 + 38x + -38x Combine like terms: 38x + -38x = 0 -8 + 2x = -38 + 0 -8 + 2x = -38 Add '8' to each side of the equation. -8 + 8 + 2x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -38 + 8 2x = -38 + 8 Combine like terms: -38 + 8 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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