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Simplifying 6x + 3(x + -30) = 63 + -1(x + 3) Reorder the terms: 6x + 3(-30 + x) = 63 + -1(x + 3) 6x + (-30 * 3 + x * 3) = 63 + -1(x + 3) 6x + (-90 + 3x) = 63 + -1(x + 3) Reorder the terms: -90 + 6x + 3x = 63 + -1(x + 3) Combine like terms: 6x + 3x = 9x -90 + 9x = 63 + -1(x + 3) Reorder the terms: -90 + 9x = 63 + -1(3 + x) -90 + 9x = 63 + (3 * -1 + x * -1) -90 + 9x = 63 + (-3 + -1x) Combine like terms: 63 + -3 = 60 -90 + 9x = 60 + -1x Solving -90 + 9x = 60 + -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. -90 + 9x + x = 60 + -1x + x Combine like terms: 9x + x = 10x -90 + 10x = 60 + -1x + x Combine like terms: -1x + x = 0 -90 + 10x = 60 + 0 -90 + 10x = 60 Add '90' to each side of the equation. -90 + 90 + 10x = 60 + 90 Combine like terms: -90 + 90 = 0 0 + 10x = 60 + 90 10x = 60 + 90 Combine like terms: 60 + 90 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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