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Simplifying 75 + -1(6x + 12) = 6(x + 4) + x Reorder the terms: 75 + -1(12 + 6x) = 6(x + 4) + x 75 + (12 * -1 + 6x * -1) = 6(x + 4) + x 75 + (-12 + -6x) = 6(x + 4) + x Combine like terms: 75 + -12 = 63 63 + -6x = 6(x + 4) + x Reorder the terms: 63 + -6x = 6(4 + x) + x 63 + -6x = (4 * 6 + x * 6) + x 63 + -6x = (24 + 6x) + x Combine like terms: 6x + x = 7x 63 + -6x = 24 + 7x Solving 63 + -6x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 63 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x 63 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 63 + -13x = 24 + 0 63 + -13x = 24 Add '-63' to each side of the equation. 63 + -63 + -13x = 24 + -63 Combine like terms: 63 + -63 = 0 0 + -13x = 24 + -63 -13x = 24 + -63 Combine like terms: 24 + -63 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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