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Simplifying (2x + 2) * 350 + -1(0.6x + 6) * 350 = 3500 Reorder the terms: (2 + 2x) * 350 + -1(0.6x + 6) * 350 = 3500 Reorder the terms for easier multiplication: 350(2 + 2x) + -1(0.6x + 6) * 350 = 3500 (2 * 350 + 2x * 350) + -1(0.6x + 6) * 350 = 3500 (700 + 700x) + -1(0.6x + 6) * 350 = 3500 Reorder the terms: 700 + 700x + -1(6 + 0.6x) * 350 = 3500 Reorder the terms for easier multiplication: 700 + 700x + -1 * 350(6 + 0.6x) = 3500 Multiply -1 * 350 700 + 700x + -350(6 + 0.6x) = 3500 700 + 700x + (6 * -350 + 0.6x * -350) = 3500 700 + 700x + (-2100 + -210x) = 3500 Reorder the terms: 700 + -2100 + 700x + -210x = 3500 Combine like terms: 700 + -2100 = -1400 -1400 + 700x + -210x = 3500 Combine like terms: 700x + -210x = 490x -1400 + 490x = 3500 Solving -1400 + 490x = 3500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1400' to each side of the equation. -1400 + 1400 + 490x = 3500 + 1400 Combine like terms: -1400 + 1400 = 0 0 + 490x = 3500 + 1400 490x = 3500 + 1400 Combine like terms: 3500 + 1400 = 4900 490x = 4900 Divide each side by '490'. x = 10 Simplifying x = 10
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