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Simplifying 9(x + 2) + -6(x + -1) + 14 = 5(x + -3) + 11 Reorder the terms: 9(2 + x) + -6(x + -1) + 14 = 5(x + -3) + 11 (2 * 9 + x * 9) + -6(x + -1) + 14 = 5(x + -3) + 11 (18 + 9x) + -6(x + -1) + 14 = 5(x + -3) + 11 Reorder the terms: 18 + 9x + -6(-1 + x) + 14 = 5(x + -3) + 11 18 + 9x + (-1 * -6 + x * -6) + 14 = 5(x + -3) + 11 18 + 9x + (6 + -6x) + 14 = 5(x + -3) + 11 Reorder the terms: 18 + 6 + 14 + 9x + -6x = 5(x + -3) + 11 Combine like terms: 18 + 6 = 24 24 + 14 + 9x + -6x = 5(x + -3) + 11 Combine like terms: 24 + 14 = 38 38 + 9x + -6x = 5(x + -3) + 11 Combine like terms: 9x + -6x = 3x 38 + 3x = 5(x + -3) + 11 Reorder the terms: 38 + 3x = 5(-3 + x) + 11 38 + 3x = (-3 * 5 + x * 5) + 11 38 + 3x = (-15 + 5x) + 11 Reorder the terms: 38 + 3x = -15 + 11 + 5x Combine like terms: -15 + 11 = -4 38 + 3x = -4 + 5x Solving 38 + 3x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + 3x + -5x = -4 + 5x + -5x Combine like terms: 3x + -5x = -2x 38 + -2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -2x = -4 + 0 38 + -2x = -4 Add '-38' to each side of the equation. 38 + -38 + -2x = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = -4 + -38 -2x = -4 + -38 Combine like terms: -4 + -38 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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