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Simplifying 3x + -2(4x + -1) = x + -7 Reorder the terms: 3x + -2(-1 + 4x) = x + -7 3x + (-1 * -2 + 4x * -2) = x + -7 3x + (2 + -8x) = x + -7 Reorder the terms: 2 + 3x + -8x = x + -7 Combine like terms: 3x + -8x = -5x 2 + -5x = x + -7 Reorder the terms: 2 + -5x = -7 + x Solving 2 + -5x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -5x + -1x = -7 + x + -1x Combine like terms: -5x + -1x = -6x 2 + -6x = -7 + x + -1x Combine like terms: x + -1x = 0 2 + -6x = -7 + 0 2 + -6x = -7 Add '-2' to each side of the equation. 2 + -2 + -6x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -7 + -2 -6x = -7 + -2 Combine like terms: -7 + -2 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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