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