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Simplifying 3x + -5(x + 2) = 2(x + -3) + 2 Reorder the terms: 3x + -5(2 + x) = 2(x + -3) + 2 3x + (2 * -5 + x * -5) = 2(x + -3) + 2 3x + (-10 + -5x) = 2(x + -3) + 2 Reorder the terms: -10 + 3x + -5x = 2(x + -3) + 2 Combine like terms: 3x + -5x = -2x -10 + -2x = 2(x + -3) + 2 Reorder the terms: -10 + -2x = 2(-3 + x) + 2 -10 + -2x = (-3 * 2 + x * 2) + 2 -10 + -2x = (-6 + 2x) + 2 Reorder the terms: -10 + -2x = -6 + 2 + 2x Combine like terms: -6 + 2 = -4 -10 + -2x = -4 + 2x Solving -10 + -2x = -4 + 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 = -4 + 2x + -2x Combine like terms: -2x + -2x = -4x -10 + -4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -4x = -4 + 0 -10 + -4x = -4 Add '10' to each side of the equation. -10 + 10 + -4x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -4 + 10 -4x = -4 + 10 Combine like terms: -4 + 10 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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