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Simplifying 5(3x + -2) + 5(16 + -2x) = 2(2x + 3) + -5 Reorder the terms: 5(-2 + 3x) + 5(16 + -2x) = 2(2x + 3) + -5 (-2 * 5 + 3x * 5) + 5(16 + -2x) = 2(2x + 3) + -5 (-10 + 15x) + 5(16 + -2x) = 2(2x + 3) + -5 -10 + 15x + (16 * 5 + -2x * 5) = 2(2x + 3) + -5 -10 + 15x + (80 + -10x) = 2(2x + 3) + -5 Reorder the terms: -10 + 80 + 15x + -10x = 2(2x + 3) + -5 Combine like terms: -10 + 80 = 70 70 + 15x + -10x = 2(2x + 3) + -5 Combine like terms: 15x + -10x = 5x 70 + 5x = 2(2x + 3) + -5 Reorder the terms: 70 + 5x = 2(3 + 2x) + -5 70 + 5x = (3 * 2 + 2x * 2) + -5 70 + 5x = (6 + 4x) + -5 Reorder the terms: 70 + 5x = 6 + -5 + 4x Combine like terms: 6 + -5 = 1 70 + 5x = 1 + 4x Solving 70 + 5x = 1 + 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. 70 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 70 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 70 + 1x = 1 + 0 70 + 1x = 1 Add '-70' to each side of the equation. 70 + -70 + 1x = 1 + -70 Combine like terms: 70 + -70 = 0 0 + 1x = 1 + -70 1x = 1 + -70 Combine like terms: 1 + -70 = -69 1x = -69 Divide each side by '1'. x = -69 Simplifying x = -69
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