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Simplifying 4(x + 3) + 2(x + -2) = 5x + 14 Reorder the terms: 4(3 + x) + 2(x + -2) = 5x + 14 (3 * 4 + x * 4) + 2(x + -2) = 5x + 14 (12 + 4x) + 2(x + -2) = 5x + 14 Reorder the terms: 12 + 4x + 2(-2 + x) = 5x + 14 12 + 4x + (-2 * 2 + x * 2) = 5x + 14 12 + 4x + (-4 + 2x) = 5x + 14 Reorder the terms: 12 + -4 + 4x + 2x = 5x + 14 Combine like terms: 12 + -4 = 8 8 + 4x + 2x = 5x + 14 Combine like terms: 4x + 2x = 6x 8 + 6x = 5x + 14 Reorder the terms: 8 + 6x = 14 + 5x Solving 8 + 6x = 14 + 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. 8 + 6x + -5x = 14 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = 14 + 0 8 + 1x = 14 Add '-8' to each side of the equation. 8 + -8 + 1x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 14 + -8 1x = 14 + -8 Combine like terms: 14 + -8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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