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Simplifying 3x + 2(4 + -1x) = 6x + -7 3x + (4 * 2 + -1x * 2) = 6x + -7 3x + (8 + -2x) = 6x + -7 Reorder the terms: 8 + 3x + -2x = 6x + -7 Combine like terms: 3x + -2x = 1x 8 + 1x = 6x + -7 Reorder the terms: 8 + 1x = -7 + 6x Solving 8 + 1x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 1x + -6x = -7 + 6x + -6x Combine like terms: 1x + -6x = -5x 8 + -5x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -5x = -7 + 0 8 + -5x = -7 Add '-8' to each side of the equation. 8 + -8 + -5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -7 + -8 -5x = -7 + -8 Combine like terms: -7 + -8 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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