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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 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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