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