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Simplifying 4 + 9(x + -3) = 10 + -4(x + -1) Reorder the terms: 4 + 9(-3 + x) = 10 + -4(x + -1) 4 + (-3 * 9 + x * 9) = 10 + -4(x + -1) 4 + (-27 + 9x) = 10 + -4(x + -1) Combine like terms: 4 + -27 = -23 -23 + 9x = 10 + -4(x + -1) Reorder the terms: -23 + 9x = 10 + -4(-1 + x) -23 + 9x = 10 + (-1 * -4 + x * -4) -23 + 9x = 10 + (4 + -4x) Combine like terms: 10 + 4 = 14 -23 + 9x = 14 + -4x Solving -23 + 9x = 14 + -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. -23 + 9x + 4x = 14 + -4x + 4x Combine like terms: 9x + 4x = 13x -23 + 13x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -23 + 13x = 14 + 0 -23 + 13x = 14 Add '23' to each side of the equation. -23 + 23 + 13x = 14 + 23 Combine like terms: -23 + 23 = 0 0 + 13x = 14 + 23 13x = 14 + 23 Combine like terms: 14 + 23 = 37 13x = 37 Divide each side by '13'. x = 2.846153846 Simplifying x = 2.846153846
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