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Simplifying 3(x + -5) + 2x + 14 = 5 + -2(-2x + 2) Reorder the terms: 3(-5 + x) + 2x + 14 = 5 + -2(-2x + 2) (-5 * 3 + x * 3) + 2x + 14 = 5 + -2(-2x + 2) (-15 + 3x) + 2x + 14 = 5 + -2(-2x + 2) Reorder the terms: -15 + 14 + 3x + 2x = 5 + -2(-2x + 2) Combine like terms: -15 + 14 = -1 -1 + 3x + 2x = 5 + -2(-2x + 2) Combine like terms: 3x + 2x = 5x -1 + 5x = 5 + -2(-2x + 2) Reorder the terms: -1 + 5x = 5 + -2(2 + -2x) -1 + 5x = 5 + (2 * -2 + -2x * -2) -1 + 5x = 5 + (-4 + 4x) Combine like terms: 5 + -4 = 1 -1 + 5x = 1 + 4x Solving -1 + 5x = 1 + 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. -1 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x -1 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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