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Simplifying 5x + 42 = 8x + 3(x + -2) Reorder the terms: 42 + 5x = 8x + 3(x + -2) Reorder the terms: 42 + 5x = 8x + 3(-2 + x) 42 + 5x = 8x + (-2 * 3 + x * 3) 42 + 5x = 8x + (-6 + 3x) Reorder the terms: 42 + 5x = -6 + 8x + 3x Combine like terms: 8x + 3x = 11x 42 + 5x = -6 + 11x Solving 42 + 5x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 42 + 5x + -11x = -6 + 11x + -11x Combine like terms: 5x + -11x = -6x 42 + -6x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + -6x = -6 + 0 42 + -6x = -6 Add '-42' to each side of the equation. 42 + -42 + -6x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -6 + -42 -6x = -6 + -42 Combine like terms: -6 + -42 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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