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Simplifying 32 + -7x = 2(8x + -7) Reorder the terms: 32 + -7x = 2(-7 + 8x) 32 + -7x = (-7 * 2 + 8x * 2) 32 + -7x = (-14 + 16x) Solving 32 + -7x = -14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 32 + -7x + -16x = -14 + 16x + -16x Combine like terms: -7x + -16x = -23x 32 + -23x = -14 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -23x = -14 + 0 32 + -23x = -14 Add '-32' to each side of the equation. 32 + -32 + -23x = -14 + -32 Combine like terms: 32 + -32 = 0 0 + -23x = -14 + -32 -23x = -14 + -32 Combine like terms: -14 + -32 = -46 -23x = -46 Divide each side by '-23'. x = 2 Simplifying x = 2
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