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Simplifying 4 + -1(6x + -8) = 3(x + 1) Reorder the terms: 4 + -1(-8 + 6x) = 3(x + 1) 4 + (-8 * -1 + 6x * -1) = 3(x + 1) 4 + (8 + -6x) = 3(x + 1) Combine like terms: 4 + 8 = 12 12 + -6x = 3(x + 1) Reorder the terms: 12 + -6x = 3(1 + x) 12 + -6x = (1 * 3 + x * 3) 12 + -6x = (3 + 3x) Solving 12 + -6x = 3 + 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. 12 + -6x + -3x = 3 + 3x + -3x Combine like terms: -6x + -3x = -9x 12 + -9x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9x = 3 + 0 12 + -9x = 3 Add '-12' to each side of the equation. 12 + -12 + -9x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 3 + -12 -9x = 3 + -12 Combine like terms: 3 + -12 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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