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Simplifying 3(x + -5) + -8(x + 3) + 7 = 67 Reorder the terms: 3(-5 + x) + -8(x + 3) + 7 = 67 (-5 * 3 + x * 3) + -8(x + 3) + 7 = 67 (-15 + 3x) + -8(x + 3) + 7 = 67 Reorder the terms: -15 + 3x + -8(3 + x) + 7 = 67 -15 + 3x + (3 * -8 + x * -8) + 7 = 67 -15 + 3x + (-24 + -8x) + 7 = 67 Reorder the terms: -15 + -24 + 7 + 3x + -8x = 67 Combine like terms: -15 + -24 = -39 -39 + 7 + 3x + -8x = 67 Combine like terms: -39 + 7 = -32 -32 + 3x + -8x = 67 Combine like terms: 3x + -8x = -5x -32 + -5x = 67 Solving -32 + -5x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -5x = 67 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 67 + 32 -5x = 67 + 32 Combine like terms: 67 + 32 = 99 -5x = 99 Divide each side by '-5'. x = -19.8 Simplifying x = -19.8
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