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Simplifying 10x + -2 = 4(3x + -5) Reorder the terms: -2 + 10x = 4(3x + -5) Reorder the terms: -2 + 10x = 4(-5 + 3x) -2 + 10x = (-5 * 4 + 3x * 4) -2 + 10x = (-20 + 12x) Solving -2 + 10x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 10x + -12x = -20 + 12x + -12x Combine like terms: 10x + -12x = -2x -2 + -2x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -2x = -20 + 0 -2 + -2x = -20 Add '2' to each side of the equation. -2 + 2 + -2x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -20 + 2 -2x = -20 + 2 Combine like terms: -20 + 2 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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