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Simplifying (280 + 70)(1 + -42) + -10x = 40x + -1680x + -420x Combine like terms: 280 + 70 = 350 (350)(1 + -42) + -10x = 40x + -1680x + -420x Combine like terms: 1 + -42 = -41 350(-41) + -10x = 40x + -1680x + -420x Multiply 350 * -41 -14350 + -10x = 40x + -1680x + -420x Combine like terms: 40x + -1680x = -1640x -14350 + -10x = -1640x + -420x Combine like terms: -1640x + -420x = -2060x -14350 + -10x = -2060x Solving -14350 + -10x = -2060x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2060x' to each side of the equation. -14350 + -10x + 2060x = -2060x + 2060x Combine like terms: -10x + 2060x = 2050x -14350 + 2050x = -2060x + 2060x Combine like terms: -2060x + 2060x = 0 -14350 + 2050x = 0 Add '14350' to each side of the equation. -14350 + 14350 + 2050x = 0 + 14350 Combine like terms: -14350 + 14350 = 0 0 + 2050x = 0 + 14350 2050x = 0 + 14350 Combine like terms: 0 + 14350 = 14350 2050x = 14350 Divide each side by '2050'. x = 7 Simplifying x = 7
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