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Simplifying 5(x + -3) + 2 = 2(2x + -8) Reorder the terms: 5(-3 + x) + 2 = 2(2x + -8) (-3 * 5 + x * 5) + 2 = 2(2x + -8) (-15 + 5x) + 2 = 2(2x + -8) Reorder the terms: -15 + 2 + 5x = 2(2x + -8) Combine like terms: -15 + 2 = -13 -13 + 5x = 2(2x + -8) Reorder the terms: -13 + 5x = 2(-8 + 2x) -13 + 5x = (-8 * 2 + 2x * 2) -13 + 5x = (-16 + 4x) Solving -13 + 5x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 5x + -4x = -16 + 4x + -4x Combine like terms: 5x + -4x = 1x -13 + 1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 1x = -16 + 0 -13 + 1x = -16 Add '13' to each side of the equation. -13 + 13 + 1x = -16 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -16 + 13 1x = -16 + 13 Combine like terms: -16 + 13 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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