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Simplifying 20(7x + 8 + -12) + -12 = 6(24x + -4) * 4 + -1x Reorder the terms: 20(8 + -12 + 7x) + -12 = 6(24x + -4) * 4 + -1x Combine like terms: 8 + -12 = -4 20(-4 + 7x) + -12 = 6(24x + -4) * 4 + -1x (-4 * 20 + 7x * 20) + -12 = 6(24x + -4) * 4 + -1x (-80 + 140x) + -12 = 6(24x + -4) * 4 + -1x Reorder the terms: -80 + -12 + 140x = 6(24x + -4) * 4 + -1x Combine like terms: -80 + -12 = -92 -92 + 140x = 6(24x + -4) * 4 + -1x Reorder the terms: -92 + 140x = 6(-4 + 24x) * 4 + -1x Reorder the terms for easier multiplication: -92 + 140x = 6 * 4(-4 + 24x) + -1x Multiply 6 * 4 -92 + 140x = 24(-4 + 24x) + -1x -92 + 140x = (-4 * 24 + 24x * 24) + -1x -92 + 140x = (-96 + 576x) + -1x Combine like terms: 576x + -1x = 575x -92 + 140x = -96 + 575x Solving -92 + 140x = -96 + 575x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-575x' to each side of the equation. -92 + 140x + -575x = -96 + 575x + -575x Combine like terms: 140x + -575x = -435x -92 + -435x = -96 + 575x + -575x Combine like terms: 575x + -575x = 0 -92 + -435x = -96 + 0 -92 + -435x = -96 Add '92' to each side of the equation. -92 + 92 + -435x = -96 + 92 Combine like terms: -92 + 92 = 0 0 + -435x = -96 + 92 -435x = -96 + 92 Combine like terms: -96 + 92 = -4 -435x = -4 Divide each side by '-435'. x = 0.009195402299 Simplifying x = 0.009195402299
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