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Simplifying 1 + 9(x + -4) = 10 + -6(x + -4) Reorder the terms: 1 + 9(-4 + x) = 10 + -6(x + -4) 1 + (-4 * 9 + x * 9) = 10 + -6(x + -4) 1 + (-36 + 9x) = 10 + -6(x + -4) Combine like terms: 1 + -36 = -35 -35 + 9x = 10 + -6(x + -4) Reorder the terms: -35 + 9x = 10 + -6(-4 + x) -35 + 9x = 10 + (-4 * -6 + x * -6) -35 + 9x = 10 + (24 + -6x) Combine like terms: 10 + 24 = 34 -35 + 9x = 34 + -6x Solving -35 + 9x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 9x + 6x = 34 + -6x + 6x Combine like terms: 9x + 6x = 15x -35 + 15x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 15x = 34 + 0 -35 + 15x = 34 Add '35' to each side of the equation. -35 + 35 + 15x = 34 + 35 Combine like terms: -35 + 35 = 0 0 + 15x = 34 + 35 15x = 34 + 35 Combine like terms: 34 + 35 = 69 15x = 69 Divide each side by '15'. x = 4.6 Simplifying x = 4.6
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