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Simplifying 5(5x + 8) = 3(8x + -2) + 4 Reorder the terms: 5(8 + 5x) = 3(8x + -2) + 4 (8 * 5 + 5x * 5) = 3(8x + -2) + 4 (40 + 25x) = 3(8x + -2) + 4 Reorder the terms: 40 + 25x = 3(-2 + 8x) + 4 40 + 25x = (-2 * 3 + 8x * 3) + 4 40 + 25x = (-6 + 24x) + 4 Reorder the terms: 40 + 25x = -6 + 4 + 24x Combine like terms: -6 + 4 = -2 40 + 25x = -2 + 24x Solving 40 + 25x = -2 + 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. 40 + 25x + -24x = -2 + 24x + -24x Combine like terms: 25x + -24x = 1x 40 + 1x = -2 + 24x + -24x Combine like terms: 24x + -24x = 0 40 + 1x = -2 + 0 40 + 1x = -2 Add '-40' to each side of the equation. 40 + -40 + 1x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = -2 + -40 1x = -2 + -40 Combine like terms: -2 + -40 = -42 1x = -42 Divide each side by '1'. x = -42 Simplifying x = -42
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