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Simplifying 20 = -8(6x + -4) + -6(x + -7) Reorder the terms: 20 = -8(-4 + 6x) + -6(x + -7) 20 = (-4 * -8 + 6x * -8) + -6(x + -7) 20 = (32 + -48x) + -6(x + -7) Reorder the terms: 20 = 32 + -48x + -6(-7 + x) 20 = 32 + -48x + (-7 * -6 + x * -6) 20 = 32 + -48x + (42 + -6x) Reorder the terms: 20 = 32 + 42 + -48x + -6x Combine like terms: 32 + 42 = 74 20 = 74 + -48x + -6x Combine like terms: -48x + -6x = -54x 20 = 74 + -54x Solving 20 = 74 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 20 + 54x = 74 + -54x + 54x Combine like terms: -54x + 54x = 0 20 + 54x = 74 + 0 20 + 54x = 74 Add '-20' to each side of the equation. 20 + -20 + 54x = 74 + -20 Combine like terms: 20 + -20 = 0 0 + 54x = 74 + -20 54x = 74 + -20 Combine like terms: 74 + -20 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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