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Simplifying 8x + 3(x + -4) = x + -2 Reorder the terms: 8x + 3(-4 + x) = x + -2 8x + (-4 * 3 + x * 3) = x + -2 8x + (-12 + 3x) = x + -2 Reorder the terms: -12 + 8x + 3x = x + -2 Combine like terms: 8x + 3x = 11x -12 + 11x = x + -2 Reorder the terms: -12 + 11x = -2 + x Solving -12 + 11x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 11x + -1x = -2 + x + -1x Combine like terms: 11x + -1x = 10x -12 + 10x = -2 + x + -1x Combine like terms: x + -1x = 0 -12 + 10x = -2 + 0 -12 + 10x = -2 Add '12' to each side of the equation. -12 + 12 + 10x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -2 + 12 10x = -2 + 12 Combine like terms: -2 + 12 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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