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Simplifying 10x + 5 + -9 = 15 + 9(3x + -9) Reorder the terms: 5 + -9 + 10x = 15 + 9(3x + -9) Combine like terms: 5 + -9 = -4 -4 + 10x = 15 + 9(3x + -9) Reorder the terms: -4 + 10x = 15 + 9(-9 + 3x) -4 + 10x = 15 + (-9 * 9 + 3x * 9) -4 + 10x = 15 + (-81 + 27x) Combine like terms: 15 + -81 = -66 -4 + 10x = -66 + 27x Solving -4 + 10x = -66 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -4 + 10x + -27x = -66 + 27x + -27x Combine like terms: 10x + -27x = -17x -4 + -17x = -66 + 27x + -27x Combine like terms: 27x + -27x = 0 -4 + -17x = -66 + 0 -4 + -17x = -66 Add '4' to each side of the equation. -4 + 4 + -17x = -66 + 4 Combine like terms: -4 + 4 = 0 0 + -17x = -66 + 4 -17x = -66 + 4 Combine like terms: -66 + 4 = -62 -17x = -62 Divide each side by '-17'. x = 3.647058824 Simplifying x = 3.647058824
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