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Simplifying 4(3x + -5) + 2 = 10x + -2 Reorder the terms: 4(-5 + 3x) + 2 = 10x + -2 (-5 * 4 + 3x * 4) + 2 = 10x + -2 (-20 + 12x) + 2 = 10x + -2 Reorder the terms: -20 + 2 + 12x = 10x + -2 Combine like terms: -20 + 2 = -18 -18 + 12x = 10x + -2 Reorder the terms: -18 + 12x = -2 + 10x Solving -18 + 12x = -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 + 12x + -10x = -2 + 10x + -10x Combine like terms: 12x + -10x = 2x -18 + 2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 2x = -2 + 0 -18 + 2x = -2 Add '18' to each side of the equation. -18 + 18 + 2x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -2 + 18 2x = -2 + 18 Combine like terms: -2 + 18 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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