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Simplifying 3x + -42 = 8(x + -9) Reorder the terms: -42 + 3x = 8(x + -9) Reorder the terms: -42 + 3x = 8(-9 + x) -42 + 3x = (-9 * 8 + x * 8) -42 + 3x = (-72 + 8x) Solving -42 + 3x = -72 + 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. -42 + 3x + -8x = -72 + 8x + -8x Combine like terms: 3x + -8x = -5x -42 + -5x = -72 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -5x = -72 + 0 -42 + -5x = -72 Add '42' to each side of the equation. -42 + 42 + -5x = -72 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = -72 + 42 -5x = -72 + 42 Combine like terms: -72 + 42 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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