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Simplifying 4 + -2(x + 5) = 5x + -6 + -4x Reorder the terms: 4 + -2(5 + x) = 5x + -6 + -4x 4 + (5 * -2 + x * -2) = 5x + -6 + -4x 4 + (-10 + -2x) = 5x + -6 + -4x Combine like terms: 4 + -10 = -6 -6 + -2x = 5x + -6 + -4x Reorder the terms: -6 + -2x = -6 + 5x + -4x Combine like terms: 5x + -4x = 1x -6 + -2x = -6 + 1x Add '6' to each side of the equation. -6 + 6 + -2x = -6 + 6 + 1x Combine like terms: -6 + 6 = 0 0 + -2x = -6 + 6 + 1x -2x = -6 + 6 + 1x Combine like terms: -6 + 6 = 0 -2x = 0 + 1x -2x = 1x Solving -2x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2x + -1x = 1x + -1x Combine like terms: -2x + -1x = -3x -3x = 1x + -1x Combine like terms: 1x + -1x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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