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Simplifying 7 + 6 + 4x + -2(7x + 6) = 12x + 40 + 2x Reorder the terms: 7 + 6 + 4x + -2(6 + 7x) = 12x + 40 + 2x 7 + 6 + 4x + (6 * -2 + 7x * -2) = 12x + 40 + 2x 7 + 6 + 4x + (-12 + -14x) = 12x + 40 + 2x Reorder the terms: 7 + 6 + -12 + 4x + -14x = 12x + 40 + 2x Combine like terms: 7 + 6 = 13 13 + -12 + 4x + -14x = 12x + 40 + 2x Combine like terms: 13 + -12 = 1 1 + 4x + -14x = 12x + 40 + 2x Combine like terms: 4x + -14x = -10x 1 + -10x = 12x + 40 + 2x Reorder the terms: 1 + -10x = 40 + 12x + 2x Combine like terms: 12x + 2x = 14x 1 + -10x = 40 + 14x Solving 1 + -10x = 40 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + -10x + -14x = 40 + 14x + -14x Combine like terms: -10x + -14x = -24x 1 + -24x = 40 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + -24x = 40 + 0 1 + -24x = 40 Add '-1' to each side of the equation. 1 + -1 + -24x = 40 + -1 Combine like terms: 1 + -1 = 0 0 + -24x = 40 + -1 -24x = 40 + -1 Combine like terms: 40 + -1 = 39 -24x = 39 Divide each side by '-24'. x = -1.625 Simplifying x = -1.625
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