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Simplifying 4(5x + -3) + 2(18 + -2x) = 3(5x + 2) + -5 Reorder the terms: 4(-3 + 5x) + 2(18 + -2x) = 3(5x + 2) + -5 (-3 * 4 + 5x * 4) + 2(18 + -2x) = 3(5x + 2) + -5 (-12 + 20x) + 2(18 + -2x) = 3(5x + 2) + -5 -12 + 20x + (18 * 2 + -2x * 2) = 3(5x + 2) + -5 -12 + 20x + (36 + -4x) = 3(5x + 2) + -5 Reorder the terms: -12 + 36 + 20x + -4x = 3(5x + 2) + -5 Combine like terms: -12 + 36 = 24 24 + 20x + -4x = 3(5x + 2) + -5 Combine like terms: 20x + -4x = 16x 24 + 16x = 3(5x + 2) + -5 Reorder the terms: 24 + 16x = 3(2 + 5x) + -5 24 + 16x = (2 * 3 + 5x * 3) + -5 24 + 16x = (6 + 15x) + -5 Reorder the terms: 24 + 16x = 6 + -5 + 15x Combine like terms: 6 + -5 = 1 24 + 16x = 1 + 15x Solving 24 + 16x = 1 + 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. 24 + 16x + -15x = 1 + 15x + -15x Combine like terms: 16x + -15x = 1x 24 + 1x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + 1x = 1 + 0 24 + 1x = 1 Add '-24' to each side of the equation. 24 + -24 + 1x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 1 + -24 1x = 1 + -24 Combine like terms: 1 + -24 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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