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Simplifying 5(x + -3) + 2 = 3x + 5 + (-1x) + -6 Reorder the terms: 5(-3 + x) + 2 = 3x + 5 + (-1x) + -6 (-3 * 5 + x * 5) + 2 = 3x + 5 + (-1x) + -6 (-15 + 5x) + 2 = 3x + 5 + (-1x) + -6 Reorder the terms: -15 + 2 + 5x = 3x + 5 + (-1x) + -6 Combine like terms: -15 + 2 = -13 -13 + 5x = 3x + 5 + (-1x) + -6 Reorder the terms: -13 + 5x = 5 + -6 + 3x + (-1x) Combine like terms: 5 + -6 = -1 -13 + 5x = -1 + 3x + (-1x) Combine like terms: 3x + (-1x) = 2x -13 + 5x = -1 + 2x Solving -13 + 5x = -1 + 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. -13 + 5x + -2x = -1 + 2x + -2x Combine like terms: 5x + -2x = 3x -13 + 3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 3x = -1 + 0 -13 + 3x = -1 Add '13' to each side of the equation. -13 + 13 + 3x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -1 + 13 3x = -1 + 13 Combine like terms: -1 + 13 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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