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Simplifying 3(x + -4) + -23 = 4x + -4(5 + -1x) Reorder the terms: 3(-4 + x) + -23 = 4x + -4(5 + -1x) (-4 * 3 + x * 3) + -23 = 4x + -4(5 + -1x) (-12 + 3x) + -23 = 4x + -4(5 + -1x) Reorder the terms: -12 + -23 + 3x = 4x + -4(5 + -1x) Combine like terms: -12 + -23 = -35 -35 + 3x = 4x + -4(5 + -1x) -35 + 3x = 4x + (5 * -4 + -1x * -4) -35 + 3x = 4x + (-20 + 4x) Reorder the terms: -35 + 3x = -20 + 4x + 4x Combine like terms: 4x + 4x = 8x -35 + 3x = -20 + 8x Solving -35 + 3x = -20 + 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. -35 + 3x + -8x = -20 + 8x + -8x Combine like terms: 3x + -8x = -5x -35 + -5x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -5x = -20 + 0 -35 + -5x = -20 Add '35' to each side of the equation. -35 + 35 + -5x = -20 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = -20 + 35 -5x = -20 + 35 Combine like terms: -20 + 35 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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