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Simplifying 4(5x + -3) + 2(10 + -2x) = 5(3x + 2) + -5 Reorder the terms: 4(-3 + 5x) + 2(10 + -2x) = 5(3x + 2) + -5 (-3 * 4 + 5x * 4) + 2(10 + -2x) = 5(3x + 2) + -5 (-12 + 20x) + 2(10 + -2x) = 5(3x + 2) + -5 -12 + 20x + (10 * 2 + -2x * 2) = 5(3x + 2) + -5 -12 + 20x + (20 + -4x) = 5(3x + 2) + -5 Reorder the terms: -12 + 20 + 20x + -4x = 5(3x + 2) + -5 Combine like terms: -12 + 20 = 8 8 + 20x + -4x = 5(3x + 2) + -5 Combine like terms: 20x + -4x = 16x 8 + 16x = 5(3x + 2) + -5 Reorder the terms: 8 + 16x = 5(2 + 3x) + -5 8 + 16x = (2 * 5 + 3x * 5) + -5 8 + 16x = (10 + 15x) + -5 Reorder the terms: 8 + 16x = 10 + -5 + 15x Combine like terms: 10 + -5 = 5 8 + 16x = 5 + 15x Solving 8 + 16x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 16x + -15x = 5 + 15x + -15x Combine like terms: 16x + -15x = 1x 8 + 1x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + 1x = 5 + 0 8 + 1x = 5 Add '-8' to each side of the equation. 8 + -8 + 1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 5 + -8 1x = 5 + -8 Combine like terms: 5 + -8 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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