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Simplifying 5(x + -3) = -4(x + 2) + 14 Reorder the terms: 5(-3 + x) = -4(x + 2) + 14 (-3 * 5 + x * 5) = -4(x + 2) + 14 (-15 + 5x) = -4(x + 2) + 14 Reorder the terms: -15 + 5x = -4(2 + x) + 14 -15 + 5x = (2 * -4 + x * -4) + 14 -15 + 5x = (-8 + -4x) + 14 Reorder the terms: -15 + 5x = -8 + 14 + -4x Combine like terms: -8 + 14 = 6 -15 + 5x = 6 + -4x Solving -15 + 5x = 6 + -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. -15 + 5x + 4x = 6 + -4x + 4x Combine like terms: 5x + 4x = 9x -15 + 9x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 9x = 6 + 0 -15 + 9x = 6 Add '15' to each side of the equation. -15 + 15 + 9x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 6 + 15 9x = 6 + 15 Combine like terms: 6 + 15 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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