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Simplifying 5(x + -3) + 6 = 8(x + 10) + 4 Reorder the terms: 5(-3 + x) + 6 = 8(x + 10) + 4 (-3 * 5 + x * 5) + 6 = 8(x + 10) + 4 (-15 + 5x) + 6 = 8(x + 10) + 4 Reorder the terms: -15 + 6 + 5x = 8(x + 10) + 4 Combine like terms: -15 + 6 = -9 -9 + 5x = 8(x + 10) + 4 Reorder the terms: -9 + 5x = 8(10 + x) + 4 -9 + 5x = (10 * 8 + x * 8) + 4 -9 + 5x = (80 + 8x) + 4 Reorder the terms: -9 + 5x = 80 + 4 + 8x Combine like terms: 80 + 4 = 84 -9 + 5x = 84 + 8x Solving -9 + 5x = 84 + 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. -9 + 5x + -8x = 84 + 8x + -8x Combine like terms: 5x + -8x = -3x -9 + -3x = 84 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -3x = 84 + 0 -9 + -3x = 84 Add '9' to each side of the equation. -9 + 9 + -3x = 84 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 84 + 9 -3x = 84 + 9 Combine like terms: 84 + 9 = 93 -3x = 93 Divide each side by '-3'. x = -31 Simplifying x = -31
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