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Simplifying 10(x + 9) = 4x + 12 Reorder the terms: 10(9 + x) = 4x + 12 (9 * 10 + x * 10) = 4x + 12 (90 + 10x) = 4x + 12 Reorder the terms: 90 + 10x = 12 + 4x Solving 90 + 10x = 12 + 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. 90 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x 90 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + 6x = 12 + 0 90 + 6x = 12 Add '-90' to each side of the equation. 90 + -90 + 6x = 12 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 12 + -90 6x = 12 + -90 Combine like terms: 12 + -90 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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