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Simplifying 3(x + -4) = 8x + 23 Reorder the terms: 3(-4 + x) = 8x + 23 (-4 * 3 + x * 3) = 8x + 23 (-12 + 3x) = 8x + 23 Reorder the terms: -12 + 3x = 23 + 8x Solving -12 + 3x = 23 + 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. -12 + 3x + -8x = 23 + 8x + -8x Combine like terms: 3x + -8x = -5x -12 + -5x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -5x = 23 + 0 -12 + -5x = 23 Add '12' to each side of the equation. -12 + 12 + -5x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 23 + 12 -5x = 23 + 12 Combine like terms: 23 + 12 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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