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Simplifying -9(2x + 1) + -4(x + -2) + 14 = 0 Reorder the terms: -9(1 + 2x) + -4(x + -2) + 14 = 0 (1 * -9 + 2x * -9) + -4(x + -2) + 14 = 0 (-9 + -18x) + -4(x + -2) + 14 = 0 Reorder the terms: -9 + -18x + -4(-2 + x) + 14 = 0 -9 + -18x + (-2 * -4 + x * -4) + 14 = 0 -9 + -18x + (8 + -4x) + 14 = 0 Reorder the terms: -9 + 8 + 14 + -18x + -4x = 0 Combine like terms: -9 + 8 = -1 -1 + 14 + -18x + -4x = 0 Combine like terms: -1 + 14 = 13 13 + -18x + -4x = 0 Combine like terms: -18x + -4x = -22x 13 + -22x = 0 Solving 13 + -22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -22x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -22x = 0 + -13 -22x = 0 + -13 Combine like terms: 0 + -13 = -13 -22x = -13 Divide each side by '-22'. x = 0.5909090909 Simplifying x = 0.5909090909
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