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Simplifying 4x + 6(x + -8) = 5(x + -1) + -3 Reorder the terms: 4x + 6(-8 + x) = 5(x + -1) + -3 4x + (-8 * 6 + x * 6) = 5(x + -1) + -3 4x + (-48 + 6x) = 5(x + -1) + -3 Reorder the terms: -48 + 4x + 6x = 5(x + -1) + -3 Combine like terms: 4x + 6x = 10x -48 + 10x = 5(x + -1) + -3 Reorder the terms: -48 + 10x = 5(-1 + x) + -3 -48 + 10x = (-1 * 5 + x * 5) + -3 -48 + 10x = (-5 + 5x) + -3 Reorder the terms: -48 + 10x = -5 + -3 + 5x Combine like terms: -5 + -3 = -8 -48 + 10x = -8 + 5x Solving -48 + 10x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 10x + -5x = -8 + 5x + -5x Combine like terms: 10x + -5x = 5x -48 + 5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 5x = -8 + 0 -48 + 5x = -8 Add '48' to each side of the equation. -48 + 48 + 5x = -8 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = -8 + 48 5x = -8 + 48 Combine like terms: -8 + 48 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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