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Simplifying 52 = 4(x + 3) + 2(2x + -5) Reorder the terms: 52 = 4(3 + x) + 2(2x + -5) 52 = (3 * 4 + x * 4) + 2(2x + -5) 52 = (12 + 4x) + 2(2x + -5) Reorder the terms: 52 = 12 + 4x + 2(-5 + 2x) 52 = 12 + 4x + (-5 * 2 + 2x * 2) 52 = 12 + 4x + (-10 + 4x) Reorder the terms: 52 = 12 + -10 + 4x + 4x Combine like terms: 12 + -10 = 2 52 = 2 + 4x + 4x Combine like terms: 4x + 4x = 8x 52 = 2 + 8x Solving 52 = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -8x = 2 + 0 52 + -8x = 2 Add '-52' to each side of the equation. 52 + -52 + -8x = 2 + -52 Combine like terms: 52 + -52 = 0 0 + -8x = 2 + -52 -8x = 2 + -52 Combine like terms: 2 + -52 = -50 -8x = -50 Divide each side by '-8'. x = 6.25 Simplifying x = 6.25
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