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Simplifying 5(x + -6) + 4 = 4(2x + -8) + -3 Reorder the terms: 5(-6 + x) + 4 = 4(2x + -8) + -3 (-6 * 5 + x * 5) + 4 = 4(2x + -8) + -3 (-30 + 5x) + 4 = 4(2x + -8) + -3 Reorder the terms: -30 + 4 + 5x = 4(2x + -8) + -3 Combine like terms: -30 + 4 = -26 -26 + 5x = 4(2x + -8) + -3 Reorder the terms: -26 + 5x = 4(-8 + 2x) + -3 -26 + 5x = (-8 * 4 + 2x * 4) + -3 -26 + 5x = (-32 + 8x) + -3 Reorder the terms: -26 + 5x = -32 + -3 + 8x Combine like terms: -32 + -3 = -35 -26 + 5x = -35 + 8x Solving -26 + 5x = -35 + 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. -26 + 5x + -8x = -35 + 8x + -8x Combine like terms: 5x + -8x = -3x -26 + -3x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 -26 + -3x = -35 + 0 -26 + -3x = -35 Add '26' to each side of the equation. -26 + 26 + -3x = -35 + 26 Combine like terms: -26 + 26 = 0 0 + -3x = -35 + 26 -3x = -35 + 26 Combine like terms: -35 + 26 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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