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Simplifying 3(x + -4) + 2 = -2x + 15 Reorder the terms: 3(-4 + x) + 2 = -2x + 15 (-4 * 3 + x * 3) + 2 = -2x + 15 (-12 + 3x) + 2 = -2x + 15 Reorder the terms: -12 + 2 + 3x = -2x + 15 Combine like terms: -12 + 2 = -10 -10 + 3x = -2x + 15 Reorder the terms: -10 + 3x = 15 + -2x Solving -10 + 3x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 3x + 2x = 15 + -2x + 2x Combine like terms: 3x + 2x = 5x -10 + 5x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 5x = 15 + 0 -10 + 5x = 15 Add '10' to each side of the equation. -10 + 10 + 5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 15 + 10 5x = 15 + 10 Combine like terms: 15 + 10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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