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Simplifying 6(9 + x) = 7x + -4 (9 * 6 + x * 6) = 7x + -4 (54 + 6x) = 7x + -4 Reorder the terms: 54 + 6x = -4 + 7x Solving 54 + 6x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 54 + 6x + -7x = -4 + 7x + -7x Combine like terms: 6x + -7x = -1x 54 + -1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + -1x = -4 + 0 54 + -1x = -4 Add '-54' to each side of the equation. 54 + -54 + -1x = -4 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = -4 + -54 -1x = -4 + -54 Combine like terms: -4 + -54 = -58 -1x = -58 Divide each side by '-1'. x = 58 Simplifying x = 58
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