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Simplifying x + -46 = 4(2x + 3) + -9 Reorder the terms: -46 + x = 4(2x + 3) + -9 Reorder the terms: -46 + x = 4(3 + 2x) + -9 -46 + x = (3 * 4 + 2x * 4) + -9 -46 + x = (12 + 8x) + -9 Reorder the terms: -46 + x = 12 + -9 + 8x Combine like terms: 12 + -9 = 3 -46 + x = 3 + 8x Solving -46 + x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -46 + x + -8x = 3 + 8x + -8x Combine like terms: x + -8x = -7x -46 + -7x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -46 + -7x = 3 + 0 -46 + -7x = 3 Add '46' to each side of the equation. -46 + 46 + -7x = 3 + 46 Combine like terms: -46 + 46 = 0 0 + -7x = 3 + 46 -7x = 3 + 46 Combine like terms: 3 + 46 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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