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Simplifying 5 + 6(x + -7) = -32 + x Reorder the terms: 5 + 6(-7 + x) = -32 + x 5 + (-7 * 6 + x * 6) = -32 + x 5 + (-42 + 6x) = -32 + x Combine like terms: 5 + -42 = -37 -37 + 6x = -32 + x Solving -37 + 6x = -32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -37 + 6x + -1x = -32 + x + -1x Combine like terms: 6x + -1x = 5x -37 + 5x = -32 + x + -1x Combine like terms: x + -1x = 0 -37 + 5x = -32 + 0 -37 + 5x = -32 Add '37' to each side of the equation. -37 + 37 + 5x = -32 + 37 Combine like terms: -37 + 37 = 0 0 + 5x = -32 + 37 5x = -32 + 37 Combine like terms: -32 + 37 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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