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Simplifying X + 5(x + -3) = 2(x + -3) + -5 Reorder the terms: X + 5(-3 + x) = 2(x + -3) + -5 X + (-3 * 5 + x * 5) = 2(x + -3) + -5 X + (-15 + 5x) = 2(x + -3) + -5 Reorder the terms: -15 + X + 5x = 2(x + -3) + -5 Reorder the terms: -15 + X + 5x = 2(-3 + x) + -5 -15 + X + 5x = (-3 * 2 + x * 2) + -5 -15 + X + 5x = (-6 + 2x) + -5 Reorder the terms: -15 + X + 5x = -6 + -5 + 2x Combine like terms: -6 + -5 = -11 -15 + X + 5x = -11 + 2x Solving -15 + X + 5x = -11 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + X + 15 + 5x = -11 + 15 + 2x Reorder the terms: -15 + 15 + X + 5x = -11 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + X + 5x = -11 + 15 + 2x X + 5x = -11 + 15 + 2x Combine like terms: -11 + 15 = 4 X + 5x = 4 + 2x Add '-5x' to each side of the equation. X + 5x + -5x = 4 + 2x + -5x Combine like terms: 5x + -5x = 0 X + 0 = 4 + 2x + -5x X = 4 + 2x + -5x Combine like terms: 2x + -5x = -3x X = 4 + -3x Simplifying X = 4 + -3x
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