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Simplifying 1 + 9(x + -4) = 6 + -2(x + -3) Reorder the terms: 1 + 9(-4 + x) = 6 + -2(x + -3) 1 + (-4 * 9 + x * 9) = 6 + -2(x + -3) 1 + (-36 + 9x) = 6 + -2(x + -3) Combine like terms: 1 + -36 = -35 -35 + 9x = 6 + -2(x + -3) Reorder the terms: -35 + 9x = 6 + -2(-3 + x) -35 + 9x = 6 + (-3 * -2 + x * -2) -35 + 9x = 6 + (6 + -2x) Combine like terms: 6 + 6 = 12 -35 + 9x = 12 + -2x Solving -35 + 9x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 9x + 2x = 12 + -2x + 2x Combine like terms: 9x + 2x = 11x -35 + 11x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 11x = 12 + 0 -35 + 11x = 12 Add '35' to each side of the equation. -35 + 35 + 11x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 12 + 35 11x = 12 + 35 Combine like terms: 12 + 35 = 47 11x = 47 Divide each side by '11'. x = 4.272727273 Simplifying x = 4.272727273
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