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Simplifying 52 + -13(5 + -11x) + 4(6x + -21) = -8(17 + -16x) 52 + (5 * -13 + -11x * -13) + 4(6x + -21) = -8(17 + -16x) 52 + (-65 + 143x) + 4(6x + -21) = -8(17 + -16x) Reorder the terms: 52 + -65 + 143x + 4(-21 + 6x) = -8(17 + -16x) 52 + -65 + 143x + (-21 * 4 + 6x * 4) = -8(17 + -16x) 52 + -65 + 143x + (-84 + 24x) = -8(17 + -16x) Reorder the terms: 52 + -65 + -84 + 143x + 24x = -8(17 + -16x) Combine like terms: 52 + -65 = -13 -13 + -84 + 143x + 24x = -8(17 + -16x) Combine like terms: -13 + -84 = -97 -97 + 143x + 24x = -8(17 + -16x) Combine like terms: 143x + 24x = 167x -97 + 167x = -8(17 + -16x) -97 + 167x = (17 * -8 + -16x * -8) -97 + 167x = (-136 + 128x) Solving -97 + 167x = -136 + 128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128x' to each side of the equation. -97 + 167x + -128x = -136 + 128x + -128x Combine like terms: 167x + -128x = 39x -97 + 39x = -136 + 128x + -128x Combine like terms: 128x + -128x = 0 -97 + 39x = -136 + 0 -97 + 39x = -136 Add '97' to each side of the equation. -97 + 97 + 39x = -136 + 97 Combine like terms: -97 + 97 = 0 0 + 39x = -136 + 97 39x = -136 + 97 Combine like terms: -136 + 97 = -39 39x = -39 Divide each side by '39'. x = -1 Simplifying x = -1
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