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Simplifying 2(x + 4) + 10 = 4(x + -5) + 28 Reorder the terms: 2(4 + x) + 10 = 4(x + -5) + 28 (4 * 2 + x * 2) + 10 = 4(x + -5) + 28 (8 + 2x) + 10 = 4(x + -5) + 28 Reorder the terms: 8 + 10 + 2x = 4(x + -5) + 28 Combine like terms: 8 + 10 = 18 18 + 2x = 4(x + -5) + 28 Reorder the terms: 18 + 2x = 4(-5 + x) + 28 18 + 2x = (-5 * 4 + x * 4) + 28 18 + 2x = (-20 + 4x) + 28 Reorder the terms: 18 + 2x = -20 + 28 + 4x Combine like terms: -20 + 28 = 8 18 + 2x = 8 + 4x Solving 18 + 2x = 8 + 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. 18 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x 18 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -2x = 8 + 0 18 + -2x = 8 Add '-18' to each side of the equation. 18 + -18 + -2x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 8 + -18 -2x = 8 + -18 Combine like terms: 8 + -18 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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