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Simplifying 7 + -3(4x + 2) = 6(2x + 3 + -1) Reorder the terms: 7 + -3(2 + 4x) = 6(2x + 3 + -1) 7 + (2 * -3 + 4x * -3) = 6(2x + 3 + -1) 7 + (-6 + -12x) = 6(2x + 3 + -1) Combine like terms: 7 + -6 = 1 1 + -12x = 6(2x + 3 + -1) Reorder the terms: 1 + -12x = 6(3 + -1 + 2x) Combine like terms: 3 + -1 = 2 1 + -12x = 6(2 + 2x) 1 + -12x = (2 * 6 + 2x * 6) 1 + -12x = (12 + 12x) Solving 1 + -12x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + -12x + -12x = 12 + 12x + -12x Combine like terms: -12x + -12x = -24x 1 + -24x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -24x = 12 + 0 1 + -24x = 12 Add '-1' to each side of the equation. 1 + -1 + -24x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -24x = 12 + -1 -24x = 12 + -1 Combine like terms: 12 + -1 = 11 -24x = 11 Divide each side by '-24'. x = -0.4583333333 Simplifying x = -0.4583333333
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