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Simplifying 42 + -3(x + -2) = 5x + 8 Reorder the terms: 42 + -3(-2 + x) = 5x + 8 42 + (-2 * -3 + x * -3) = 5x + 8 42 + (6 + -3x) = 5x + 8 Combine like terms: 42 + 6 = 48 48 + -3x = 5x + 8 Reorder the terms: 48 + -3x = 8 + 5x Solving 48 + -3x = 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 + -3x + -5x = 8 + 5x + -5x Combine like terms: -3x + -5x = -8x 48 + -8x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + -8x = 8 + 0 48 + -8x = 8 Add '-48' to each side of the equation. 48 + -48 + -8x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -8x = 8 + -48 -8x = 8 + -48 Combine like terms: 8 + -48 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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