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Simplifying 15(5x + -20) + (4x + -30) * 7 = 69x Reorder the terms: 15(-20 + 5x) + (4x + -30) * 7 = 69x (-20 * 15 + 5x * 15) + (4x + -30) * 7 = 69x (-300 + 75x) + (4x + -30) * 7 = 69x Reorder the terms: -300 + 75x + (-30 + 4x) * 7 = 69x Reorder the terms for easier multiplication: -300 + 75x + 7(-30 + 4x) = 69x -300 + 75x + (-30 * 7 + 4x * 7) = 69x -300 + 75x + (-210 + 28x) = 69x Reorder the terms: -300 + -210 + 75x + 28x = 69x Combine like terms: -300 + -210 = -510 -510 + 75x + 28x = 69x Combine like terms: 75x + 28x = 103x -510 + 103x = 69x Solving -510 + 103x = 69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69x' to each side of the equation. -510 + 103x + -69x = 69x + -69x Combine like terms: 103x + -69x = 34x -510 + 34x = 69x + -69x Combine like terms: 69x + -69x = 0 -510 + 34x = 0 Add '510' to each side of the equation. -510 + 510 + 34x = 0 + 510 Combine like terms: -510 + 510 = 0 0 + 34x = 0 + 510 34x = 0 + 510 Combine like terms: 0 + 510 = 510 34x = 510 Divide each side by '34'. x = 15 Simplifying x = 15
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