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Simplifying 7 + 8(x + -3) = 6 + -2(x + -3) Reorder the terms: 7 + 8(-3 + x) = 6 + -2(x + -3) 7 + (-3 * 8 + x * 8) = 6 + -2(x + -3) 7 + (-24 + 8x) = 6 + -2(x + -3) Combine like terms: 7 + -24 = -17 -17 + 8x = 6 + -2(x + -3) Reorder the terms: -17 + 8x = 6 + -2(-3 + x) -17 + 8x = 6 + (-3 * -2 + x * -2) -17 + 8x = 6 + (6 + -2x) Combine like terms: 6 + 6 = 12 -17 + 8x = 12 + -2x Solving -17 + 8x = 12 + -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. -17 + 8x + 2x = 12 + -2x + 2x Combine like terms: 8x + 2x = 10x -17 + 10x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 10x = 12 + 0 -17 + 10x = 12 Add '17' to each side of the equation. -17 + 17 + 10x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 12 + 17 10x = 12 + 17 Combine like terms: 12 + 17 = 29 10x = 29 Divide each side by '10'. x = 2.9 Simplifying x = 2.9
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