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Simplifying 2(4x + -2) + -1(5x + -6) = 7 + -1(3x + 2) Reorder the terms: 2(-2 + 4x) + -1(5x + -6) = 7 + -1(3x + 2) (-2 * 2 + 4x * 2) + -1(5x + -6) = 7 + -1(3x + 2) (-4 + 8x) + -1(5x + -6) = 7 + -1(3x + 2) Reorder the terms: -4 + 8x + -1(-6 + 5x) = 7 + -1(3x + 2) -4 + 8x + (-6 * -1 + 5x * -1) = 7 + -1(3x + 2) -4 + 8x + (6 + -5x) = 7 + -1(3x + 2) Reorder the terms: -4 + 6 + 8x + -5x = 7 + -1(3x + 2) Combine like terms: -4 + 6 = 2 2 + 8x + -5x = 7 + -1(3x + 2) Combine like terms: 8x + -5x = 3x 2 + 3x = 7 + -1(3x + 2) Reorder the terms: 2 + 3x = 7 + -1(2 + 3x) 2 + 3x = 7 + (2 * -1 + 3x * -1) 2 + 3x = 7 + (-2 + -3x) Combine like terms: 7 + -2 = 5 2 + 3x = 5 + -3x Solving 2 + 3x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 3x + 3x = 5 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = 5 + 0 2 + 6x = 5 Add '-2' to each side of the equation. 2 + -2 + 6x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 5 + -2 6x = 5 + -2 Combine like terms: 5 + -2 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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