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Simplifying -3(7x + -51) + -8(3 + 7x) = -36 + 78x Reorder the terms: -3(-51 + 7x) + -8(3 + 7x) = -36 + 78x (-51 * -3 + 7x * -3) + -8(3 + 7x) = -36 + 78x (153 + -21x) + -8(3 + 7x) = -36 + 78x 153 + -21x + (3 * -8 + 7x * -8) = -36 + 78x 153 + -21x + (-24 + -56x) = -36 + 78x Reorder the terms: 153 + -24 + -21x + -56x = -36 + 78x Combine like terms: 153 + -24 = 129 129 + -21x + -56x = -36 + 78x Combine like terms: -21x + -56x = -77x 129 + -77x = -36 + 78x Solving 129 + -77x = -36 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. 129 + -77x + -78x = -36 + 78x + -78x Combine like terms: -77x + -78x = -155x 129 + -155x = -36 + 78x + -78x Combine like terms: 78x + -78x = 0 129 + -155x = -36 + 0 129 + -155x = -36 Add '-129' to each side of the equation. 129 + -129 + -155x = -36 + -129 Combine like terms: 129 + -129 = 0 0 + -155x = -36 + -129 -155x = -36 + -129 Combine like terms: -36 + -129 = -165 -155x = -165 Divide each side by '-155'. x = 1.064516129 Simplifying x = 1.064516129
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