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Simplifying 5(4x + 9) + -6x = -8x + 12 Reorder the terms: 5(9 + 4x) + -6x = -8x + 12 (9 * 5 + 4x * 5) + -6x = -8x + 12 (45 + 20x) + -6x = -8x + 12 Combine like terms: 20x + -6x = 14x 45 + 14x = -8x + 12 Reorder the terms: 45 + 14x = 12 + -8x Solving 45 + 14x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 45 + 14x + 8x = 12 + -8x + 8x Combine like terms: 14x + 8x = 22x 45 + 22x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 45 + 22x = 12 + 0 45 + 22x = 12 Add '-45' to each side of the equation. 45 + -45 + 22x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 22x = 12 + -45 22x = 12 + -45 Combine like terms: 12 + -45 = -33 22x = -33 Divide each side by '22'. x = -1.5 Simplifying x = -1.5
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