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Simplifying 4(4x + 5) = 3(5x + -4) + 10 Reorder the terms: 4(5 + 4x) = 3(5x + -4) + 10 (5 * 4 + 4x * 4) = 3(5x + -4) + 10 (20 + 16x) = 3(5x + -4) + 10 Reorder the terms: 20 + 16x = 3(-4 + 5x) + 10 20 + 16x = (-4 * 3 + 5x * 3) + 10 20 + 16x = (-12 + 15x) + 10 Reorder the terms: 20 + 16x = -12 + 10 + 15x Combine like terms: -12 + 10 = -2 20 + 16x = -2 + 15x Solving 20 + 16x = -2 + 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. 20 + 16x + -15x = -2 + 15x + -15x Combine like terms: 16x + -15x = 1x 20 + 1x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + 1x = -2 + 0 20 + 1x = -2 Add '-20' to each side of the equation. 20 + -20 + 1x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -2 + -20 1x = -2 + -20 Combine like terms: -2 + -20 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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