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Simplifying 4(3X + -8) + -7(8X + 12) = -63X + 92 + -7X Reorder the terms: 4(-8 + 3X) + -7(8X + 12) = -63X + 92 + -7X (-8 * 4 + 3X * 4) + -7(8X + 12) = -63X + 92 + -7X (-32 + 12X) + -7(8X + 12) = -63X + 92 + -7X Reorder the terms: -32 + 12X + -7(12 + 8X) = -63X + 92 + -7X -32 + 12X + (12 * -7 + 8X * -7) = -63X + 92 + -7X -32 + 12X + (-84 + -56X) = -63X + 92 + -7X Reorder the terms: -32 + -84 + 12X + -56X = -63X + 92 + -7X Combine like terms: -32 + -84 = -116 -116 + 12X + -56X = -63X + 92 + -7X Combine like terms: 12X + -56X = -44X -116 + -44X = -63X + 92 + -7X Reorder the terms: -116 + -44X = 92 + -63X + -7X Combine like terms: -63X + -7X = -70X -116 + -44X = 92 + -70X Solving -116 + -44X = 92 + -70X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '70X' to each side of the equation. -116 + -44X + 70X = 92 + -70X + 70X Combine like terms: -44X + 70X = 26X -116 + 26X = 92 + -70X + 70X Combine like terms: -70X + 70X = 0 -116 + 26X = 92 + 0 -116 + 26X = 92 Add '116' to each side of the equation. -116 + 116 + 26X = 92 + 116 Combine like terms: -116 + 116 = 0 0 + 26X = 92 + 116 26X = 92 + 116 Combine like terms: 92 + 116 = 208 26X = 208 Divide each side by '26'. X = 8 Simplifying X = 8
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