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Simplifying 52 + -1(2x + 4) = 2(x + 9) + x Reorder the terms: 52 + -1(4 + 2x) = 2(x + 9) + x 52 + (4 * -1 + 2x * -1) = 2(x + 9) + x 52 + (-4 + -2x) = 2(x + 9) + x Combine like terms: 52 + -4 = 48 48 + -2x = 2(x + 9) + x Reorder the terms: 48 + -2x = 2(9 + x) + x 48 + -2x = (9 * 2 + x * 2) + x 48 + -2x = (18 + 2x) + x Combine like terms: 2x + x = 3x 48 + -2x = 18 + 3x Solving 48 + -2x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 48 + -2x + -3x = 18 + 3x + -3x Combine like terms: -2x + -3x = -5x 48 + -5x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + -5x = 18 + 0 48 + -5x = 18 Add '-48' to each side of the equation. 48 + -48 + -5x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -5x = 18 + -48 -5x = 18 + -48 Combine like terms: 18 + -48 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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