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Simplifying 6(x + -9) = 3 + -1(x + 45) Reorder the terms: 6(-9 + x) = 3 + -1(x + 45) (-9 * 6 + x * 6) = 3 + -1(x + 45) (-54 + 6x) = 3 + -1(x + 45) Reorder the terms: -54 + 6x = 3 + -1(45 + x) -54 + 6x = 3 + (45 * -1 + x * -1) -54 + 6x = 3 + (-45 + -1x) Combine like terms: 3 + -45 = -42 -54 + 6x = -42 + -1x Solving -54 + 6x = -42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -54 + 6x + x = -42 + -1x + x Combine like terms: 6x + x = 7x -54 + 7x = -42 + -1x + x Combine like terms: -1x + x = 0 -54 + 7x = -42 + 0 -54 + 7x = -42 Add '54' to each side of the equation. -54 + 54 + 7x = -42 + 54 Combine like terms: -54 + 54 = 0 0 + 7x = -42 + 54 7x = -42 + 54 Combine like terms: -42 + 54 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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