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Simplifying 5(4x + -2) + 5(18 + -3x) = 2(2x + 4) + -5 Reorder the terms: 5(-2 + 4x) + 5(18 + -3x) = 2(2x + 4) + -5 (-2 * 5 + 4x * 5) + 5(18 + -3x) = 2(2x + 4) + -5 (-10 + 20x) + 5(18 + -3x) = 2(2x + 4) + -5 -10 + 20x + (18 * 5 + -3x * 5) = 2(2x + 4) + -5 -10 + 20x + (90 + -15x) = 2(2x + 4) + -5 Reorder the terms: -10 + 90 + 20x + -15x = 2(2x + 4) + -5 Combine like terms: -10 + 90 = 80 80 + 20x + -15x = 2(2x + 4) + -5 Combine like terms: 20x + -15x = 5x 80 + 5x = 2(2x + 4) + -5 Reorder the terms: 80 + 5x = 2(4 + 2x) + -5 80 + 5x = (4 * 2 + 2x * 2) + -5 80 + 5x = (8 + 4x) + -5 Reorder the terms: 80 + 5x = 8 + -5 + 4x Combine like terms: 8 + -5 = 3 80 + 5x = 3 + 4x Solving 80 + 5x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 80 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x 80 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 80 + 1x = 3 + 0 80 + 1x = 3 Add '-80' to each side of the equation. 80 + -80 + 1x = 3 + -80 Combine like terms: 80 + -80 = 0 0 + 1x = 3 + -80 1x = 3 + -80 Combine like terms: 3 + -80 = -77 1x = -77 Divide each side by '1'. x = -77 Simplifying x = -77
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