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Simplifying 1 + 6(x + -3) = 5 + -4(x + -9) Reorder the terms: 1 + 6(-3 + x) = 5 + -4(x + -9) 1 + (-3 * 6 + x * 6) = 5 + -4(x + -9) 1 + (-18 + 6x) = 5 + -4(x + -9) Combine like terms: 1 + -18 = -17 -17 + 6x = 5 + -4(x + -9) Reorder the terms: -17 + 6x = 5 + -4(-9 + x) -17 + 6x = 5 + (-9 * -4 + x * -4) -17 + 6x = 5 + (36 + -4x) Combine like terms: 5 + 36 = 41 -17 + 6x = 41 + -4x Solving -17 + 6x = 41 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -17 + 6x + 4x = 41 + -4x + 4x Combine like terms: 6x + 4x = 10x -17 + 10x = 41 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 10x = 41 + 0 -17 + 10x = 41 Add '17' to each side of the equation. -17 + 17 + 10x = 41 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 41 + 17 10x = 41 + 17 Combine like terms: 41 + 17 = 58 10x = 58 Divide each side by '10'. x = 5.8 Simplifying x = 5.8
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