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Simplifying 4(x + 3) = (x + 3) * 46 Reorder the terms: 4(3 + x) = (x + 3) * 46 (3 * 4 + x * 4) = (x + 3) * 46 (12 + 4x) = (x + 3) * 46 Reorder the terms: 12 + 4x = (3 + x) * 46 Reorder the terms for easier multiplication: 12 + 4x = 46(3 + x) 12 + 4x = (3 * 46 + x * 46) 12 + 4x = (138 + 46x) Solving 12 + 4x = 138 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 12 + 4x + -46x = 138 + 46x + -46x Combine like terms: 4x + -46x = -42x 12 + -42x = 138 + 46x + -46x Combine like terms: 46x + -46x = 0 12 + -42x = 138 + 0 12 + -42x = 138 Add '-12' to each side of the equation. 12 + -12 + -42x = 138 + -12 Combine like terms: 12 + -12 = 0 0 + -42x = 138 + -12 -42x = 138 + -12 Combine like terms: 138 + -12 = 126 -42x = 126 Divide each side by '-42'. x = -3 Simplifying x = -3
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