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Simplifying 7x + -3(x + -4) + -8x + 2 = 5x + -6(x + -3) + -1 Reorder the terms: 7x + -3(-4 + x) + -8x + 2 = 5x + -6(x + -3) + -1 7x + (-4 * -3 + x * -3) + -8x + 2 = 5x + -6(x + -3) + -1 7x + (12 + -3x) + -8x + 2 = 5x + -6(x + -3) + -1 Reorder the terms: 12 + 2 + 7x + -3x + -8x = 5x + -6(x + -3) + -1 Combine like terms: 12 + 2 = 14 14 + 7x + -3x + -8x = 5x + -6(x + -3) + -1 Combine like terms: 7x + -3x = 4x 14 + 4x + -8x = 5x + -6(x + -3) + -1 Combine like terms: 4x + -8x = -4x 14 + -4x = 5x + -6(x + -3) + -1 Reorder the terms: 14 + -4x = 5x + -6(-3 + x) + -1 14 + -4x = 5x + (-3 * -6 + x * -6) + -1 14 + -4x = 5x + (18 + -6x) + -1 Reorder the terms: 14 + -4x = 18 + -1 + 5x + -6x Combine like terms: 18 + -1 = 17 14 + -4x = 17 + 5x + -6x Combine like terms: 5x + -6x = -1x 14 + -4x = 17 + -1x Solving 14 + -4x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + -4x + x = 17 + -1x + x Combine like terms: -4x + x = -3x 14 + -3x = 17 + -1x + x Combine like terms: -1x + x = 0 14 + -3x = 17 + 0 14 + -3x = 17 Add '-14' to each side of the equation. 14 + -14 + -3x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 17 + -14 -3x = 17 + -14 Combine like terms: 17 + -14 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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