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Simplifying 3x + -2(x + -4) = 7x + 6 Reorder the terms: 3x + -2(-4 + x) = 7x + 6 3x + (-4 * -2 + x * -2) = 7x + 6 3x + (8 + -2x) = 7x + 6 Reorder the terms: 8 + 3x + -2x = 7x + 6 Combine like terms: 3x + -2x = 1x 8 + 1x = 7x + 6 Reorder the terms: 8 + 1x = 6 + 7x Solving 8 + 1x = 6 + 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. 8 + 1x + -7x = 6 + 7x + -7x Combine like terms: 1x + -7x = -6x 8 + -6x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -6x = 6 + 0 8 + -6x = 6 Add '-8' to each side of the equation. 8 + -8 + -6x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 6 + -8 -6x = 6 + -8 Combine like terms: 6 + -8 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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