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Simplifying 4x + 46 = 6(x + 9) Reorder the terms: 46 + 4x = 6(x + 9) Reorder the terms: 46 + 4x = 6(9 + x) 46 + 4x = (9 * 6 + x * 6) 46 + 4x = (54 + 6x) Solving 46 + 4x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + 4x + -6x = 54 + 6x + -6x Combine like terms: 4x + -6x = -2x 46 + -2x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -2x = 54 + 0 46 + -2x = 54 Add '-46' to each side of the equation. 46 + -46 + -2x = 54 + -46 Combine like terms: 46 + -46 = 0 0 + -2x = 54 + -46 -2x = 54 + -46 Combine like terms: 54 + -46 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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