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Simplifying 5(x + -3) + -3 = 3(x + -2) + -6 Reorder the terms: 5(-3 + x) + -3 = 3(x + -2) + -6 (-3 * 5 + x * 5) + -3 = 3(x + -2) + -6 (-15 + 5x) + -3 = 3(x + -2) + -6 Reorder the terms: -15 + -3 + 5x = 3(x + -2) + -6 Combine like terms: -15 + -3 = -18 -18 + 5x = 3(x + -2) + -6 Reorder the terms: -18 + 5x = 3(-2 + x) + -6 -18 + 5x = (-2 * 3 + x * 3) + -6 -18 + 5x = (-6 + 3x) + -6 Reorder the terms: -18 + 5x = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 -18 + 5x = -12 + 3x Solving -18 + 5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -18 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 2x = -12 + 0 -18 + 2x = -12 Add '18' to each side of the equation. -18 + 18 + 2x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -12 + 18 2x = -12 + 18 Combine like terms: -12 + 18 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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