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Simplifying 5x + 4(x + -20) = 62 + -1(x + -2) Reorder the terms: 5x + 4(-20 + x) = 62 + -1(x + -2) 5x + (-20 * 4 + x * 4) = 62 + -1(x + -2) 5x + (-80 + 4x) = 62 + -1(x + -2) Reorder the terms: -80 + 5x + 4x = 62 + -1(x + -2) Combine like terms: 5x + 4x = 9x -80 + 9x = 62 + -1(x + -2) Reorder the terms: -80 + 9x = 62 + -1(-2 + x) -80 + 9x = 62 + (-2 * -1 + x * -1) -80 + 9x = 62 + (2 + -1x) Combine like terms: 62 + 2 = 64 -80 + 9x = 64 + -1x Solving -80 + 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. -80 + 9x + x = 64 + -1x + x Combine like terms: 9x + x = 10x -80 + 10x = 64 + -1x + x Combine like terms: -1x + x = 0 -80 + 10x = 64 + 0 -80 + 10x = 64 Add '80' to each side of the equation. -80 + 80 + 10x = 64 + 80 Combine like terms: -80 + 80 = 0 0 + 10x = 64 + 80 10x = 64 + 80 Combine like terms: 64 + 80 = 144 10x = 144 Divide each side by '10'. x = 14.4 Simplifying x = 14.4
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