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Simplifying 57 + -1(4x + 9) = 4(x + 3) + x Reorder the terms: 57 + -1(9 + 4x) = 4(x + 3) + x 57 + (9 * -1 + 4x * -1) = 4(x + 3) + x 57 + (-9 + -4x) = 4(x + 3) + x Combine like terms: 57 + -9 = 48 48 + -4x = 4(x + 3) + x Reorder the terms: 48 + -4x = 4(3 + x) + x 48 + -4x = (3 * 4 + x * 4) + x 48 + -4x = (12 + 4x) + x Combine like terms: 4x + x = 5x 48 + -4x = 12 + 5x Solving 48 + -4x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 48 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x 48 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + -9x = 12 + 0 48 + -9x = 12 Add '-48' to each side of the equation. 48 + -48 + -9x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -9x = 12 + -48 -9x = 12 + -48 Combine like terms: 12 + -48 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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