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Simplifying 2x + 4(3x + -5) = 10 + -1x Reorder the terms: 2x + 4(-5 + 3x) = 10 + -1x 2x + (-5 * 4 + 3x * 4) = 10 + -1x 2x + (-20 + 12x) = 10 + -1x Reorder the terms: -20 + 2x + 12x = 10 + -1x Combine like terms: 2x + 12x = 14x -20 + 14x = 10 + -1x Solving -20 + 14x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + 14x + x = 10 + -1x + x Combine like terms: 14x + x = 15x -20 + 15x = 10 + -1x + x Combine like terms: -1x + x = 0 -20 + 15x = 10 + 0 -20 + 15x = 10 Add '20' to each side of the equation. -20 + 20 + 15x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 15x = 10 + 20 15x = 10 + 20 Combine like terms: 10 + 20 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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