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Simplifying 46 = 4x + 3(2x + -18) Reorder the terms: 46 = 4x + 3(-18 + 2x) 46 = 4x + (-18 * 3 + 2x * 3) 46 = 4x + (-54 + 6x) Reorder the terms: 46 = -54 + 4x + 6x Combine like terms: 4x + 6x = 10x 46 = -54 + 10x Solving 46 = -54 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 46 + -10x = -54 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -10x = -54 + 0 46 + -10x = -54 Add '-46' to each side of the equation. 46 + -46 + -10x = -54 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = -54 + -46 -10x = -54 + -46 Combine like terms: -54 + -46 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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