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Simplifying X + 5(x + -2) = 3(x + -3) + -10 Reorder the terms: X + 5(-2 + x) = 3(x + -3) + -10 X + (-2 * 5 + x * 5) = 3(x + -3) + -10 X + (-10 + 5x) = 3(x + -3) + -10 Reorder the terms: -10 + X + 5x = 3(x + -3) + -10 Reorder the terms: -10 + X + 5x = 3(-3 + x) + -10 -10 + X + 5x = (-3 * 3 + x * 3) + -10 -10 + X + 5x = (-9 + 3x) + -10 Reorder the terms: -10 + X + 5x = -9 + -10 + 3x Combine like terms: -9 + -10 = -19 -10 + X + 5x = -19 + 3x Solving -10 + X + 5x = -19 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + X + 10 + 5x = -19 + 10 + 3x Reorder the terms: -10 + 10 + X + 5x = -19 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + X + 5x = -19 + 10 + 3x X + 5x = -19 + 10 + 3x Combine like terms: -19 + 10 = -9 X + 5x = -9 + 3x Add '-5x' to each side of the equation. X + 5x + -5x = -9 + 3x + -5x Combine like terms: 5x + -5x = 0 X + 0 = -9 + 3x + -5x X = -9 + 3x + -5x Combine like terms: 3x + -5x = -2x X = -9 + -2x Simplifying X = -9 + -2x
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