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Simplifying 2x + -1(5x + -1) = -7 + -2(-1x + 2) Reorder the terms: 2x + -1(-1 + 5x) = -7 + -2(-1x + 2) 2x + (-1 * -1 + 5x * -1) = -7 + -2(-1x + 2) 2x + (1 + -5x) = -7 + -2(-1x + 2) Reorder the terms: 1 + 2x + -5x = -7 + -2(-1x + 2) Combine like terms: 2x + -5x = -3x 1 + -3x = -7 + -2(-1x + 2) Reorder the terms: 1 + -3x = -7 + -2(2 + -1x) 1 + -3x = -7 + (2 * -2 + -1x * -2) 1 + -3x = -7 + (-4 + 2x) Combine like terms: -7 + -4 = -11 1 + -3x = -11 + 2x Solving 1 + -3x = -11 + 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. 1 + -3x + -2x = -11 + 2x + -2x Combine like terms: -3x + -2x = -5x 1 + -5x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -5x = -11 + 0 1 + -5x = -11 Add '-1' to each side of the equation. 1 + -1 + -5x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -11 + -1 -5x = -11 + -1 Combine like terms: -11 + -1 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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