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Simplifying 5(x + -4) + 3 = 8(x + 4) + -36 Reorder the terms: 5(-4 + x) + 3 = 8(x + 4) + -36 (-4 * 5 + x * 5) + 3 = 8(x + 4) + -36 (-20 + 5x) + 3 = 8(x + 4) + -36 Reorder the terms: -20 + 3 + 5x = 8(x + 4) + -36 Combine like terms: -20 + 3 = -17 -17 + 5x = 8(x + 4) + -36 Reorder the terms: -17 + 5x = 8(4 + x) + -36 -17 + 5x = (4 * 8 + x * 8) + -36 -17 + 5x = (32 + 8x) + -36 Reorder the terms: -17 + 5x = 32 + -36 + 8x Combine like terms: 32 + -36 = -4 -17 + 5x = -4 + 8x Solving -17 + 5x = -4 + 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. -17 + 5x + -8x = -4 + 8x + -8x Combine like terms: 5x + -8x = -3x -17 + -3x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -3x = -4 + 0 -17 + -3x = -4 Add '17' to each side of the equation. -17 + 17 + -3x = -4 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = -4 + 17 -3x = -4 + 17 Combine like terms: -4 + 17 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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