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Simplifying 6 + -3(2x + -4) = 1(1 + x) Reorder the terms: 6 + -3(-4 + 2x) = 1(1 + x) 6 + (-4 * -3 + 2x * -3) = 1(1 + x) 6 + (12 + -6x) = 1(1 + x) Combine like terms: 6 + 12 = 18 18 + -6x = 1(1 + x) 18 + -6x = (1 * 1 + x * 1) 18 + -6x = (1 + 1x) Solving 18 + -6x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + -6x + -1x = 1 + 1x + -1x Combine like terms: -6x + -1x = -7x 18 + -7x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 18 + -7x = 1 + 0 18 + -7x = 1 Add '-18' to each side of the equation. 18 + -18 + -7x = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 1 + -18 -7x = 1 + -18 Combine like terms: 1 + -18 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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