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Simplifying 6(3x + -8) = 4(7x + 8) Reorder the terms: 6(-8 + 3x) = 4(7x + 8) (-8 * 6 + 3x * 6) = 4(7x + 8) (-48 + 18x) = 4(7x + 8) Reorder the terms: -48 + 18x = 4(8 + 7x) -48 + 18x = (8 * 4 + 7x * 4) -48 + 18x = (32 + 28x) Solving -48 + 18x = 32 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -48 + 18x + -28x = 32 + 28x + -28x Combine like terms: 18x + -28x = -10x -48 + -10x = 32 + 28x + -28x Combine like terms: 28x + -28x = 0 -48 + -10x = 32 + 0 -48 + -10x = 32 Add '48' to each side of the equation. -48 + 48 + -10x = 32 + 48 Combine like terms: -48 + 48 = 0 0 + -10x = 32 + 48 -10x = 32 + 48 Combine like terms: 32 + 48 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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