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Simplifying 6x + -3(x + 20) = 62 + -1(x + 2) Reorder the terms: 6x + -3(20 + x) = 62 + -1(x + 2) 6x + (20 * -3 + x * -3) = 62 + -1(x + 2) 6x + (-60 + -3x) = 62 + -1(x + 2) Reorder the terms: -60 + 6x + -3x = 62 + -1(x + 2) Combine like terms: 6x + -3x = 3x -60 + 3x = 62 + -1(x + 2) Reorder the terms: -60 + 3x = 62 + -1(2 + x) -60 + 3x = 62 + (2 * -1 + x * -1) -60 + 3x = 62 + (-2 + -1x) Combine like terms: 62 + -2 = 60 -60 + 3x = 60 + -1x Solving -60 + 3x = 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. -60 + 3x + x = 60 + -1x + x Combine like terms: 3x + x = 4x -60 + 4x = 60 + -1x + x Combine like terms: -1x + x = 0 -60 + 4x = 60 + 0 -60 + 4x = 60 Add '60' to each side of the equation. -60 + 60 + 4x = 60 + 60 Combine like terms: -60 + 60 = 0 0 + 4x = 60 + 60 4x = 60 + 60 Combine like terms: 60 + 60 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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