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Simplifying 450 = 6x + (2x + 10) + (2x + -25) Reorder the terms: 450 = 6x + (10 + 2x) + (2x + -25) Remove parenthesis around (10 + 2x) 450 = 6x + 10 + 2x + (2x + -25) Reorder the terms: 450 = 6x + 10 + 2x + (-25 + 2x) Remove parenthesis around (-25 + 2x) 450 = 6x + 10 + 2x + -25 + 2x Reorder the terms: 450 = 10 + -25 + 6x + 2x + 2x Combine like terms: 10 + -25 = -15 450 = -15 + 6x + 2x + 2x Combine like terms: 6x + 2x = 8x 450 = -15 + 8x + 2x Combine like terms: 8x + 2x = 10x 450 = -15 + 10x Solving 450 = -15 + 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. 450 + -10x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 450 + -10x = -15 + 0 450 + -10x = -15 Add '-450' to each side of the equation. 450 + -450 + -10x = -15 + -450 Combine like terms: 450 + -450 = 0 0 + -10x = -15 + -450 -10x = -15 + -450 Combine like terms: -15 + -450 = -465 -10x = -465 Divide each side by '-10'. x = 46.5 Simplifying x = 46.5
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