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Simplifying 8((x) + (x + 2) + (x + 4)) = 210 + (10(x + 2)) 8(x + (x + 2) + (x + 4)) = 210 + (10(x + 2)) Reorder the terms: 8(x + (2 + x) + (x + 4)) = 210 + (10(x + 2)) Remove parenthesis around (2 + x) 8(x + 2 + x + (x + 4)) = 210 + (10(x + 2)) Reorder the terms: 8(x + 2 + x + (4 + x)) = 210 + (10(x + 2)) Remove parenthesis around (4 + x) 8(x + 2 + x + 4 + x) = 210 + (10(x + 2)) Reorder the terms: 8(2 + 4 + x + x + x) = 210 + (10(x + 2)) Combine like terms: 2 + 4 = 6 8(6 + x + x + x) = 210 + (10(x + 2)) Combine like terms: x + x = 2x 8(6 + 2x + x) = 210 + (10(x + 2)) Combine like terms: 2x + x = 3x 8(6 + 3x) = 210 + (10(x + 2)) (6 * 8 + 3x * 8) = 210 + (10(x + 2)) (48 + 24x) = 210 + (10(x + 2)) Reorder the terms: 48 + 24x = 210 + (10(2 + x)) 48 + 24x = 210 + ((2 * 10 + x * 10)) 48 + 24x = 210 + ((20 + 10x)) 48 + 24x = 210 + (20 + 10x) Remove parenthesis around (20 + 10x) 48 + 24x = 210 + 20 + 10x Combine like terms: 210 + 20 = 230 48 + 24x = 230 + 10x Solving 48 + 24x = 230 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 48 + 24x + -10x = 230 + 10x + -10x Combine like terms: 24x + -10x = 14x 48 + 14x = 230 + 10x + -10x Combine like terms: 10x + -10x = 0 48 + 14x = 230 + 0 48 + 14x = 230 Add '-48' to each side of the equation. 48 + -48 + 14x = 230 + -48 Combine like terms: 48 + -48 = 0 0 + 14x = 230 + -48 14x = 230 + -48 Combine like terms: 230 + -48 = 182 14x = 182 Divide each side by '14'. x = 13 Simplifying x = 13
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