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Simplifying 1 + 7(x + -9) = 7 + -3(x + -8) Reorder the terms: 1 + 7(-9 + x) = 7 + -3(x + -8) 1 + (-9 * 7 + x * 7) = 7 + -3(x + -8) 1 + (-63 + 7x) = 7 + -3(x + -8) Combine like terms: 1 + -63 = -62 -62 + 7x = 7 + -3(x + -8) Reorder the terms: -62 + 7x = 7 + -3(-8 + x) -62 + 7x = 7 + (-8 * -3 + x * -3) -62 + 7x = 7 + (24 + -3x) Combine like terms: 7 + 24 = 31 -62 + 7x = 31 + -3x Solving -62 + 7x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -62 + 7x + 3x = 31 + -3x + 3x Combine like terms: 7x + 3x = 10x -62 + 10x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -62 + 10x = 31 + 0 -62 + 10x = 31 Add '62' to each side of the equation. -62 + 62 + 10x = 31 + 62 Combine like terms: -62 + 62 = 0 0 + 10x = 31 + 62 10x = 31 + 62 Combine like terms: 31 + 62 = 93 10x = 93 Divide each side by '10'. x = 9.3 Simplifying x = 9.3
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