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Simplifying 52(x + 4) + -2 = 4(x + 3) + -10 Reorder the terms: 52(4 + x) + -2 = 4(x + 3) + -10 (4 * 52 + x * 52) + -2 = 4(x + 3) + -10 (208 + 52x) + -2 = 4(x + 3) + -10 Reorder the terms: 208 + -2 + 52x = 4(x + 3) + -10 Combine like terms: 208 + -2 = 206 206 + 52x = 4(x + 3) + -10 Reorder the terms: 206 + 52x = 4(3 + x) + -10 206 + 52x = (3 * 4 + x * 4) + -10 206 + 52x = (12 + 4x) + -10 Reorder the terms: 206 + 52x = 12 + -10 + 4x Combine like terms: 12 + -10 = 2 206 + 52x = 2 + 4x Solving 206 + 52x = 2 + 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. 206 + 52x + -4x = 2 + 4x + -4x Combine like terms: 52x + -4x = 48x 206 + 48x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 206 + 48x = 2 + 0 206 + 48x = 2 Add '-206' to each side of the equation. 206 + -206 + 48x = 2 + -206 Combine like terms: 206 + -206 = 0 0 + 48x = 2 + -206 48x = 2 + -206 Combine like terms: 2 + -206 = -204 48x = -204 Divide each side by '48'. x = -4.25 Simplifying x = -4.25
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