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Simplifying -20 = 8(7x + -6) + -4(x + -7) Reorder the terms: -20 = 8(-6 + 7x) + -4(x + -7) -20 = (-6 * 8 + 7x * 8) + -4(x + -7) -20 = (-48 + 56x) + -4(x + -7) Reorder the terms: -20 = -48 + 56x + -4(-7 + x) -20 = -48 + 56x + (-7 * -4 + x * -4) -20 = -48 + 56x + (28 + -4x) Reorder the terms: -20 = -48 + 28 + 56x + -4x Combine like terms: -48 + 28 = -20 -20 = -20 + 56x + -4x Combine like terms: 56x + -4x = 52x -20 = -20 + 52x Add '20' to each side of the equation. -20 + 20 = -20 + 20 + 52x Combine like terms: -20 + 20 = 0 0 = -20 + 20 + 52x Combine like terms: -20 + 20 = 0 0 = 0 + 52x 0 = 52x Solving 0 = 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 0 + -52x = 52x + -52x Remove the zero: -52x = 52x + -52x Combine like terms: 52x + -52x = 0 -52x = 0 Divide each side by '-52'. x = 0 Simplifying x = 0
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