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Simplifying 4(x + -5) + -2(3x + 5) = 6 Reorder the terms: 4(-5 + x) + -2(3x + 5) = 6 (-5 * 4 + x * 4) + -2(3x + 5) = 6 (-20 + 4x) + -2(3x + 5) = 6 Reorder the terms: -20 + 4x + -2(5 + 3x) = 6 -20 + 4x + (5 * -2 + 3x * -2) = 6 -20 + 4x + (-10 + -6x) = 6 Reorder the terms: -20 + -10 + 4x + -6x = 6 Combine like terms: -20 + -10 = -30 -30 + 4x + -6x = 6 Combine like terms: 4x + -6x = -2x -30 + -2x = 6 Solving -30 + -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 6 + 30 -2x = 6 + 30 Combine like terms: 6 + 30 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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