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Simplifying (4x + -2) = 8(x + -3) + -12 Reorder the terms: (-2 + 4x) = 8(x + -3) + -12 Remove parenthesis around (-2 + 4x) -2 + 4x = 8(x + -3) + -12 Reorder the terms: -2 + 4x = 8(-3 + x) + -12 -2 + 4x = (-3 * 8 + x * 8) + -12 -2 + 4x = (-24 + 8x) + -12 Reorder the terms: -2 + 4x = -24 + -12 + 8x Combine like terms: -24 + -12 = -36 -2 + 4x = -36 + 8x Solving -2 + 4x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 4x + -8x = -36 + 8x + -8x Combine like terms: 4x + -8x = -4x -2 + -4x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -4x = -36 + 0 -2 + -4x = -36 Add '2' to each side of the equation. -2 + 2 + -4x = -36 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -36 + 2 -4x = -36 + 2 Combine like terms: -36 + 2 = -34 -4x = -34 Divide each side by '-4'. x = 8.5 Simplifying x = 8.5
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