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Simplifying 7x + 2(x + -20) = 62 + -1(x + -2) Reorder the terms: 7x + 2(-20 + x) = 62 + -1(x + -2) 7x + (-20 * 2 + x * 2) = 62 + -1(x + -2) 7x + (-40 + 2x) = 62 + -1(x + -2) Reorder the terms: -40 + 7x + 2x = 62 + -1(x + -2) Combine like terms: 7x + 2x = 9x -40 + 9x = 62 + -1(x + -2) Reorder the terms: -40 + 9x = 62 + -1(-2 + x) -40 + 9x = 62 + (-2 * -1 + x * -1) -40 + 9x = 62 + (2 + -1x) Combine like terms: 62 + 2 = 64 -40 + 9x = 64 + -1x Solving -40 + 9x = 64 + -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. -40 + 9x + x = 64 + -1x + x Combine like terms: 9x + x = 10x -40 + 10x = 64 + -1x + x Combine like terms: -1x + x = 0 -40 + 10x = 64 + 0 -40 + 10x = 64 Add '40' to each side of the equation. -40 + 40 + 10x = 64 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 64 + 40 10x = 64 + 40 Combine like terms: 64 + 40 = 104 10x = 104 Divide each side by '10'. x = 10.4 Simplifying x = 10.4
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