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