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Simplifying 5x + 4(x + -30) = 63 + -1(x + 3) Reorder the terms: 5x + 4(-30 + x) = 63 + -1(x + 3) 5x + (-30 * 4 + x * 4) = 63 + -1(x + 3) 5x + (-120 + 4x) = 63 + -1(x + 3) Reorder the terms: -120 + 5x + 4x = 63 + -1(x + 3) Combine like terms: 5x + 4x = 9x -120 + 9x = 63 + -1(x + 3) Reorder the terms: -120 + 9x = 63 + -1(3 + x) -120 + 9x = 63 + (3 * -1 + x * -1) -120 + 9x = 63 + (-3 + -1x) Combine like terms: 63 + -3 = 60 -120 + 9x = 60 + -1x Solving -120 + 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. -120 + 9x + x = 60 + -1x + x Combine like terms: 9x + x = 10x -120 + 10x = 60 + -1x + x Combine like terms: -1x + x = 0 -120 + 10x = 60 + 0 -120 + 10x = 60 Add '120' to each side of the equation. -120 + 120 + 10x = 60 + 120 Combine like terms: -120 + 120 = 0 0 + 10x = 60 + 120 10x = 60 + 120 Combine like terms: 60 + 120 = 180 10x = 180 Divide each side by '10'. x = 18 Simplifying x = 18
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