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