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Simplifying 32 + -7x = -6(x + 3) Reorder the terms: 32 + -7x = -6(3 + x) 32 + -7x = (3 * -6 + x * -6) 32 + -7x = (-18 + -6x) Solving 32 + -7x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32 + -7x + 6x = -18 + -6x + 6x Combine like terms: -7x + 6x = -1x 32 + -1x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + -1x = -18 + 0 32 + -1x = -18 Add '-32' to each side of the equation. 32 + -32 + -1x = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = -18 + -32 -1x = -18 + -32 Combine like terms: -18 + -32 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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