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Simplifying 2(x + 4) + -8 = -4(x + -3) + 42 Reorder the terms: 2(4 + x) + -8 = -4(x + -3) + 42 (4 * 2 + x * 2) + -8 = -4(x + -3) + 42 (8 + 2x) + -8 = -4(x + -3) + 42 Reorder the terms: 8 + -8 + 2x = -4(x + -3) + 42 Combine like terms: 8 + -8 = 0 0 + 2x = -4(x + -3) + 42 2x = -4(x + -3) + 42 Reorder the terms: 2x = -4(-3 + x) + 42 2x = (-3 * -4 + x * -4) + 42 2x = (12 + -4x) + 42 Reorder the terms: 2x = 12 + 42 + -4x Combine like terms: 12 + 42 = 54 2x = 54 + -4x Solving 2x = 54 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2x + 4x = 54 + -4x + 4x Combine like terms: 2x + 4x = 6x 6x = 54 + -4x + 4x Combine like terms: -4x + 4x = 0 6x = 54 + 0 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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