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Simplifying 2(x + -5) + -4(x + 2) = 4(x + 6) Reorder the terms: 2(-5 + x) + -4(x + 2) = 4(x + 6) (-5 * 2 + x * 2) + -4(x + 2) = 4(x + 6) (-10 + 2x) + -4(x + 2) = 4(x + 6) Reorder the terms: -10 + 2x + -4(2 + x) = 4(x + 6) -10 + 2x + (2 * -4 + x * -4) = 4(x + 6) -10 + 2x + (-8 + -4x) = 4(x + 6) Reorder the terms: -10 + -8 + 2x + -4x = 4(x + 6) Combine like terms: -10 + -8 = -18 -18 + 2x + -4x = 4(x + 6) Combine like terms: 2x + -4x = -2x -18 + -2x = 4(x + 6) Reorder the terms: -18 + -2x = 4(6 + x) -18 + -2x = (6 * 4 + x * 4) -18 + -2x = (24 + 4x) Solving -18 + -2x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + -2x + -4x = 24 + 4x + -4x Combine like terms: -2x + -4x = -6x -18 + -6x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -6x = 24 + 0 -18 + -6x = 24 Add '18' to each side of the equation. -18 + 18 + -6x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 24 + 18 -6x = 24 + 18 Combine like terms: 24 + 18 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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