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Simplifying 4(x + 2) + 10 = 5(2x + 10) Reorder the terms: 4(2 + x) + 10 = 5(2x + 10) (2 * 4 + x * 4) + 10 = 5(2x + 10) (8 + 4x) + 10 = 5(2x + 10) Reorder the terms: 8 + 10 + 4x = 5(2x + 10) Combine like terms: 8 + 10 = 18 18 + 4x = 5(2x + 10) Reorder the terms: 18 + 4x = 5(10 + 2x) 18 + 4x = (10 * 5 + 2x * 5) 18 + 4x = (50 + 10x) Solving 18 + 4x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 4x + -10x = 50 + 10x + -10x Combine like terms: 4x + -10x = -6x 18 + -6x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -6x = 50 + 0 18 + -6x = 50 Add '-18' to each side of the equation. 18 + -18 + -6x = 50 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 50 + -18 -6x = 50 + -18 Combine like terms: 50 + -18 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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