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Simplifying -3x + 4(x + 5) = 4x + 14 Reorder the terms: -3x + 4(5 + x) = 4x + 14 -3x + (5 * 4 + x * 4) = 4x + 14 -3x + (20 + 4x) = 4x + 14 Reorder the terms: 20 + -3x + 4x = 4x + 14 Combine like terms: -3x + 4x = 1x 20 + 1x = 4x + 14 Reorder the terms: 20 + 1x = 14 + 4x Solving 20 + 1x = 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. 20 + 1x + -4x = 14 + 4x + -4x Combine like terms: 1x + -4x = -3x 20 + -3x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -3x = 14 + 0 20 + -3x = 14 Add '-20' to each side of the equation. 20 + -20 + -3x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 14 + -20 -3x = 14 + -20 Combine like terms: 14 + -20 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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