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Simplifying 4(3x + -8) + -7(8x + 12) = -63 + 92 + -7X Reorder the terms: 4(-8 + 3x) + -7(8x + 12) = -63 + 92 + -7X (-8 * 4 + 3x * 4) + -7(8x + 12) = -63 + 92 + -7X (-32 + 12x) + -7(8x + 12) = -63 + 92 + -7X Reorder the terms: -32 + 12x + -7(12 + 8x) = -63 + 92 + -7X -32 + 12x + (12 * -7 + 8x * -7) = -63 + 92 + -7X -32 + 12x + (-84 + -56x) = -63 + 92 + -7X Reorder the terms: -32 + -84 + 12x + -56x = -63 + 92 + -7X Combine like terms: -32 + -84 = -116 -116 + 12x + -56x = -63 + 92 + -7X Combine like terms: 12x + -56x = -44x -116 + -44x = -63 + 92 + -7X Combine like terms: -63 + 92 = 29 -116 + -44x = 29 + -7X Solving -116 + -44x = 29 + -7X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '116' to each side of the equation. -116 + 116 + -44x = 29 + 116 + -7X Combine like terms: -116 + 116 = 0 0 + -44x = 29 + 116 + -7X -44x = 29 + 116 + -7X Combine like terms: 29 + 116 = 145 -44x = 145 + -7X Divide each side by '-44'. x = -3.295454545 + 0.1590909091X Simplifying x = -3.295454545 + 0.1590909091X
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