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Simplifying 2(2x + 3) + 5(x + -1) = 6(x + -4) + 14 Reorder the terms: 2(3 + 2x) + 5(x + -1) = 6(x + -4) + 14 (3 * 2 + 2x * 2) + 5(x + -1) = 6(x + -4) + 14 (6 + 4x) + 5(x + -1) = 6(x + -4) + 14 Reorder the terms: 6 + 4x + 5(-1 + x) = 6(x + -4) + 14 6 + 4x + (-1 * 5 + x * 5) = 6(x + -4) + 14 6 + 4x + (-5 + 5x) = 6(x + -4) + 14 Reorder the terms: 6 + -5 + 4x + 5x = 6(x + -4) + 14 Combine like terms: 6 + -5 = 1 1 + 4x + 5x = 6(x + -4) + 14 Combine like terms: 4x + 5x = 9x 1 + 9x = 6(x + -4) + 14 Reorder the terms: 1 + 9x = 6(-4 + x) + 14 1 + 9x = (-4 * 6 + x * 6) + 14 1 + 9x = (-24 + 6x) + 14 Reorder the terms: 1 + 9x = -24 + 14 + 6x Combine like terms: -24 + 14 = -10 1 + 9x = -10 + 6x Solving 1 + 9x = -10 + 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. 1 + 9x + -6x = -10 + 6x + -6x Combine like terms: 9x + -6x = 3x 1 + 3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 3x = -10 + 0 1 + 3x = -10 Add '-1' to each side of the equation. 1 + -1 + 3x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -10 + -1 3x = -10 + -1 Combine like terms: -10 + -1 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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