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Simplifying 6x + 3(2x + -300) = 10x + -15x(1) + 1500 Reorder the terms: 6x + 3(-300 + 2x) = 10x + -15x(1) + 1500 6x + (-300 * 3 + 2x * 3) = 10x + -15x(1) + 1500 6x + (-900 + 6x) = 10x + -15x(1) + 1500 Reorder the terms: -900 + 6x + 6x = 10x + -15x(1) + 1500 Combine like terms: 6x + 6x = 12x -900 + 12x = 10x + -15x(1) + 1500 Reorder the terms for easier multiplication: -900 + 12x = 10x + -15 * 1x + 1500 Multiply -15 * 1 -900 + 12x = 10x + -15x + 1500 Reorder the terms: -900 + 12x = 1500 + 10x + -15x Combine like terms: 10x + -15x = -5x -900 + 12x = 1500 + -5x Solving -900 + 12x = 1500 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -900 + 12x + 5x = 1500 + -5x + 5x Combine like terms: 12x + 5x = 17x -900 + 17x = 1500 + -5x + 5x Combine like terms: -5x + 5x = 0 -900 + 17x = 1500 + 0 -900 + 17x = 1500 Add '900' to each side of the equation. -900 + 900 + 17x = 1500 + 900 Combine like terms: -900 + 900 = 0 0 + 17x = 1500 + 900 17x = 1500 + 900 Combine like terms: 1500 + 900 = 2400 17x = 2400 Divide each side by '17'. x = 141.1764706 Simplifying x = 141.1764706
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