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Simplifying 7(x + 1) + -2(x + -3) = 2(x + -4) + 2(x + -1) Reorder the terms: 7(1 + x) + -2(x + -3) = 2(x + -4) + 2(x + -1) (1 * 7 + x * 7) + -2(x + -3) = 2(x + -4) + 2(x + -1) (7 + 7x) + -2(x + -3) = 2(x + -4) + 2(x + -1) Reorder the terms: 7 + 7x + -2(-3 + x) = 2(x + -4) + 2(x + -1) 7 + 7x + (-3 * -2 + x * -2) = 2(x + -4) + 2(x + -1) 7 + 7x + (6 + -2x) = 2(x + -4) + 2(x + -1) Reorder the terms: 7 + 6 + 7x + -2x = 2(x + -4) + 2(x + -1) Combine like terms: 7 + 6 = 13 13 + 7x + -2x = 2(x + -4) + 2(x + -1) Combine like terms: 7x + -2x = 5x 13 + 5x = 2(x + -4) + 2(x + -1) Reorder the terms: 13 + 5x = 2(-4 + x) + 2(x + -1) 13 + 5x = (-4 * 2 + x * 2) + 2(x + -1) 13 + 5x = (-8 + 2x) + 2(x + -1) Reorder the terms: 13 + 5x = -8 + 2x + 2(-1 + x) 13 + 5x = -8 + 2x + (-1 * 2 + x * 2) 13 + 5x = -8 + 2x + (-2 + 2x) Reorder the terms: 13 + 5x = -8 + -2 + 2x + 2x Combine like terms: -8 + -2 = -10 13 + 5x = -10 + 2x + 2x Combine like terms: 2x + 2x = 4x 13 + 5x = -10 + 4x Solving 13 + 5x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 5x + -4x = -10 + 4x + -4x Combine like terms: 5x + -4x = 1x 13 + 1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 1x = -10 + 0 13 + 1x = -10 Add '-13' to each side of the equation. 13 + -13 + 1x = -10 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = -10 + -13 1x = -10 + -13 Combine like terms: -10 + -13 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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