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Simplifying -2 + 6(3x + -5) = -7(4x + 7) + 3 Reorder the terms: -2 + 6(-5 + 3x) = -7(4x + 7) + 3 -2 + (-5 * 6 + 3x * 6) = -7(4x + 7) + 3 -2 + (-30 + 18x) = -7(4x + 7) + 3 Combine like terms: -2 + -30 = -32 -32 + 18x = -7(4x + 7) + 3 Reorder the terms: -32 + 18x = -7(7 + 4x) + 3 -32 + 18x = (7 * -7 + 4x * -7) + 3 -32 + 18x = (-49 + -28x) + 3 Reorder the terms: -32 + 18x = -49 + 3 + -28x Combine like terms: -49 + 3 = -46 -32 + 18x = -46 + -28x Solving -32 + 18x = -46 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -32 + 18x + 28x = -46 + -28x + 28x Combine like terms: 18x + 28x = 46x -32 + 46x = -46 + -28x + 28x Combine like terms: -28x + 28x = 0 -32 + 46x = -46 + 0 -32 + 46x = -46 Add '32' to each side of the equation. -32 + 32 + 46x = -46 + 32 Combine like terms: -32 + 32 = 0 0 + 46x = -46 + 32 46x = -46 + 32 Combine like terms: -46 + 32 = -14 46x = -14 Divide each side by '46'. x = -0.3043478261 Simplifying x = -0.3043478261
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