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Simplifying 5(x + 10) + -6x = x + 66 Reorder the terms: 5(10 + x) + -6x = x + 66 (10 * 5 + x * 5) + -6x = x + 66 (50 + 5x) + -6x = x + 66 Combine like terms: 5x + -6x = -1x 50 + -1x = x + 66 Reorder the terms: 50 + -1x = 66 + x Solving 50 + -1x = 66 + 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. 50 + -1x + -1x = 66 + x + -1x Combine like terms: -1x + -1x = -2x 50 + -2x = 66 + x + -1x Combine like terms: x + -1x = 0 50 + -2x = 66 + 0 50 + -2x = 66 Add '-50' to each side of the equation. 50 + -50 + -2x = 66 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = 66 + -50 -2x = 66 + -50 Combine like terms: 66 + -50 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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