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Simplifying 8 + 2(x + -3) = 10 + -8(x + -6) Reorder the terms: 8 + 2(-3 + x) = 10 + -8(x + -6) 8 + (-3 * 2 + x * 2) = 10 + -8(x + -6) 8 + (-6 + 2x) = 10 + -8(x + -6) Combine like terms: 8 + -6 = 2 2 + 2x = 10 + -8(x + -6) Reorder the terms: 2 + 2x = 10 + -8(-6 + x) 2 + 2x = 10 + (-6 * -8 + x * -8) 2 + 2x = 10 + (48 + -8x) Combine like terms: 10 + 48 = 58 2 + 2x = 58 + -8x Solving 2 + 2x = 58 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 2x + 8x = 58 + -8x + 8x Combine like terms: 2x + 8x = 10x 2 + 10x = 58 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 10x = 58 + 0 2 + 10x = 58 Add '-2' to each side of the equation. 2 + -2 + 10x = 58 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 58 + -2 10x = 58 + -2 Combine like terms: 58 + -2 = 56 10x = 56 Divide each side by '10'. x = 5.6 Simplifying x = 5.6
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