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Simplifying 6 + -7(x + -1) = 2 + -4(2x + 1) Reorder the terms: 6 + -7(-1 + x) = 2 + -4(2x + 1) 6 + (-1 * -7 + x * -7) = 2 + -4(2x + 1) 6 + (7 + -7x) = 2 + -4(2x + 1) Combine like terms: 6 + 7 = 13 13 + -7x = 2 + -4(2x + 1) Reorder the terms: 13 + -7x = 2 + -4(1 + 2x) 13 + -7x = 2 + (1 * -4 + 2x * -4) 13 + -7x = 2 + (-4 + -8x) Combine like terms: 2 + -4 = -2 13 + -7x = -2 + -8x Solving 13 + -7x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 13 + -7x + 8x = -2 + -8x + 8x Combine like terms: -7x + 8x = 1x 13 + 1x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 1x = -2 + 0 13 + 1x = -2 Add '-13' to each side of the equation. 13 + -13 + 1x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = -2 + -13 1x = -2 + -13 Combine like terms: -2 + -13 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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