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Simplifying 8(x + -2) + 10 = 7(x + 2) + -3(9 + x) + -1 Reorder the terms: 8(-2 + x) + 10 = 7(x + 2) + -3(9 + x) + -1 (-2 * 8 + x * 8) + 10 = 7(x + 2) + -3(9 + x) + -1 (-16 + 8x) + 10 = 7(x + 2) + -3(9 + x) + -1 Reorder the terms: -16 + 10 + 8x = 7(x + 2) + -3(9 + x) + -1 Combine like terms: -16 + 10 = -6 -6 + 8x = 7(x + 2) + -3(9 + x) + -1 Reorder the terms: -6 + 8x = 7(2 + x) + -3(9 + x) + -1 -6 + 8x = (2 * 7 + x * 7) + -3(9 + x) + -1 -6 + 8x = (14 + 7x) + -3(9 + x) + -1 -6 + 8x = 14 + 7x + (9 * -3 + x * -3) + -1 -6 + 8x = 14 + 7x + (-27 + -3x) + -1 Reorder the terms: -6 + 8x = 14 + -27 + -1 + 7x + -3x Combine like terms: 14 + -27 = -13 -6 + 8x = -13 + -1 + 7x + -3x Combine like terms: -13 + -1 = -14 -6 + 8x = -14 + 7x + -3x Combine like terms: 7x + -3x = 4x -6 + 8x = -14 + 4x Solving -6 + 8x = -14 + 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. -6 + 8x + -4x = -14 + 4x + -4x Combine like terms: 8x + -4x = 4x -6 + 4x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 4x = -14 + 0 -6 + 4x = -14 Add '6' to each side of the equation. -6 + 6 + 4x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -14 + 6 4x = -14 + 6 Combine like terms: -14 + 6 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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