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Simplifying 7x + -8(8x + -6) = 4 + -6(x + -5) Reorder the terms: 7x + -8(-6 + 8x) = 4 + -6(x + -5) 7x + (-6 * -8 + 8x * -8) = 4 + -6(x + -5) 7x + (48 + -64x) = 4 + -6(x + -5) Reorder the terms: 48 + 7x + -64x = 4 + -6(x + -5) Combine like terms: 7x + -64x = -57x 48 + -57x = 4 + -6(x + -5) Reorder the terms: 48 + -57x = 4 + -6(-5 + x) 48 + -57x = 4 + (-5 * -6 + x * -6) 48 + -57x = 4 + (30 + -6x) Combine like terms: 4 + 30 = 34 48 + -57x = 34 + -6x Solving 48 + -57x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 48 + -57x + 6x = 34 + -6x + 6x Combine like terms: -57x + 6x = -51x 48 + -51x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + -51x = 34 + 0 48 + -51x = 34 Add '-48' to each side of the equation. 48 + -48 + -51x = 34 + -48 Combine like terms: 48 + -48 = 0 0 + -51x = 34 + -48 -51x = 34 + -48 Combine like terms: 34 + -48 = -14 -51x = -14 Divide each side by '-51'. x = 0.2745098039 Simplifying x = 0.2745098039
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