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Simplifying 4(2x + -6) + 10 = 2(x + 5) Reorder the terms: 4(-6 + 2x) + 10 = 2(x + 5) (-6 * 4 + 2x * 4) + 10 = 2(x + 5) (-24 + 8x) + 10 = 2(x + 5) Reorder the terms: -24 + 10 + 8x = 2(x + 5) Combine like terms: -24 + 10 = -14 -14 + 8x = 2(x + 5) Reorder the terms: -14 + 8x = 2(5 + x) -14 + 8x = (5 * 2 + x * 2) -14 + 8x = (10 + 2x) Solving -14 + 8x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 8x + -2x = 10 + 2x + -2x Combine like terms: 8x + -2x = 6x -14 + 6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 6x = 10 + 0 -14 + 6x = 10 Add '14' to each side of the equation. -14 + 14 + 6x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 10 + 14 6x = 10 + 14 Combine like terms: 10 + 14 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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