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Simplifying -5(2x + 3) + -3 = 10x + 2 Reorder the terms: -5(3 + 2x) + -3 = 10x + 2 (3 * -5 + 2x * -5) + -3 = 10x + 2 (-15 + -10x) + -3 = 10x + 2 Reorder the terms: -15 + -3 + -10x = 10x + 2 Combine like terms: -15 + -3 = -18 -18 + -10x = 10x + 2 Reorder the terms: -18 + -10x = 2 + 10x Solving -18 + -10x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + -10x + -10x = 2 + 10x + -10x Combine like terms: -10x + -10x = -20x -18 + -20x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -20x = 2 + 0 -18 + -20x = 2 Add '18' to each side of the equation. -18 + 18 + -20x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -20x = 2 + 18 -20x = 2 + 18 Combine like terms: 2 + 18 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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