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Simplifying 7x + -2(x + -3) = 8x + -1(2x + 4) Reorder the terms: 7x + -2(-3 + x) = 8x + -1(2x + 4) 7x + (-3 * -2 + x * -2) = 8x + -1(2x + 4) 7x + (6 + -2x) = 8x + -1(2x + 4) Reorder the terms: 6 + 7x + -2x = 8x + -1(2x + 4) Combine like terms: 7x + -2x = 5x 6 + 5x = 8x + -1(2x + 4) Reorder the terms: 6 + 5x = 8x + -1(4 + 2x) 6 + 5x = 8x + (4 * -1 + 2x * -1) 6 + 5x = 8x + (-4 + -2x) Reorder the terms: 6 + 5x = -4 + 8x + -2x Combine like terms: 8x + -2x = 6x 6 + 5x = -4 + 6x Solving 6 + 5x = -4 + 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. 6 + 5x + -6x = -4 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = -4 + 0 6 + -1x = -4 Add '-6' to each side of the equation. 6 + -6 + -1x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -4 + -6 -1x = -4 + -6 Combine like terms: -4 + -6 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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