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Simplifying 4x + -2(1 + x) = 3x + -4(x + 5) 4x + (1 * -2 + x * -2) = 3x + -4(x + 5) 4x + (-2 + -2x) = 3x + -4(x + 5) Reorder the terms: -2 + 4x + -2x = 3x + -4(x + 5) Combine like terms: 4x + -2x = 2x -2 + 2x = 3x + -4(x + 5) Reorder the terms: -2 + 2x = 3x + -4(5 + x) -2 + 2x = 3x + (5 * -4 + x * -4) -2 + 2x = 3x + (-20 + -4x) Reorder the terms: -2 + 2x = -20 + 3x + -4x Combine like terms: 3x + -4x = -1x -2 + 2x = -20 + -1x Solving -2 + 2x = -20 + -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. -2 + 2x + x = -20 + -1x + x Combine like terms: 2x + x = 3x -2 + 3x = -20 + -1x + x Combine like terms: -1x + x = 0 -2 + 3x = -20 + 0 -2 + 3x = -20 Add '2' to each side of the equation. -2 + 2 + 3x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -20 + 2 3x = -20 + 2 Combine like terms: -20 + 2 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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