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Simplifying -5(x + 2) + 3x = x + -2x + 2 + 3x Reorder the terms: -5(2 + x) + 3x = x + -2x + 2 + 3x (2 * -5 + x * -5) + 3x = x + -2x + 2 + 3x (-10 + -5x) + 3x = x + -2x + 2 + 3x Combine like terms: -5x + 3x = -2x -10 + -2x = x + -2x + 2 + 3x Reorder the terms: -10 + -2x = 2 + x + -2x + 3x Combine like terms: x + -2x = -1x -10 + -2x = 2 + -1x + 3x Combine like terms: -1x + 3x = 2x -10 + -2x = 2 + 2x Solving -10 + -2x = 2 + 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 + -2x + -2x = 2 + 2x + -2x Combine like terms: -2x + -2x = -4x -10 + -4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -4x = 2 + 0 -10 + -4x = 2 Add '10' to each side of the equation. -10 + 10 + -4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 2 + 10 -4x = 2 + 10 Combine like terms: 2 + 10 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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