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Simplifying 4(2x + 5) + 4 = 3(5x + -6) Reorder the terms: 4(5 + 2x) + 4 = 3(5x + -6) (5 * 4 + 2x * 4) + 4 = 3(5x + -6) (20 + 8x) + 4 = 3(5x + -6) Reorder the terms: 20 + 4 + 8x = 3(5x + -6) Combine like terms: 20 + 4 = 24 24 + 8x = 3(5x + -6) Reorder the terms: 24 + 8x = 3(-6 + 5x) 24 + 8x = (-6 * 3 + 5x * 3) 24 + 8x = (-18 + 15x) Solving 24 + 8x = -18 + 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 + 8x + -15x = -18 + 15x + -15x Combine like terms: 8x + -15x = -7x 24 + -7x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -7x = -18 + 0 24 + -7x = -18 Add '-24' to each side of the equation. 24 + -24 + -7x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -18 + -24 -7x = -18 + -24 Combine like terms: -18 + -24 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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