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Simplifying 75 + -1(5x + 12) = 5(x + 6) + x Reorder the terms: 75 + -1(12 + 5x) = 5(x + 6) + x 75 + (12 * -1 + 5x * -1) = 5(x + 6) + x 75 + (-12 + -5x) = 5(x + 6) + x Combine like terms: 75 + -12 = 63 63 + -5x = 5(x + 6) + x Reorder the terms: 63 + -5x = 5(6 + x) + x 63 + -5x = (6 * 5 + x * 5) + x 63 + -5x = (30 + 5x) + x Combine like terms: 5x + x = 6x 63 + -5x = 30 + 6x Solving 63 + -5x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 63 + -5x + -6x = 30 + 6x + -6x Combine like terms: -5x + -6x = -11x 63 + -11x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + -11x = 30 + 0 63 + -11x = 30 Add '-63' to each side of the equation. 63 + -63 + -11x = 30 + -63 Combine like terms: 63 + -63 = 0 0 + -11x = 30 + -63 -11x = 30 + -63 Combine like terms: 30 + -63 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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