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Simplifying 4(x + -5) + -5(2x + 6) = 2(3x + -10) + -2x Reorder the terms: 4(-5 + x) + -5(2x + 6) = 2(3x + -10) + -2x (-5 * 4 + x * 4) + -5(2x + 6) = 2(3x + -10) + -2x (-20 + 4x) + -5(2x + 6) = 2(3x + -10) + -2x Reorder the terms: -20 + 4x + -5(6 + 2x) = 2(3x + -10) + -2x -20 + 4x + (6 * -5 + 2x * -5) = 2(3x + -10) + -2x -20 + 4x + (-30 + -10x) = 2(3x + -10) + -2x Reorder the terms: -20 + -30 + 4x + -10x = 2(3x + -10) + -2x Combine like terms: -20 + -30 = -50 -50 + 4x + -10x = 2(3x + -10) + -2x Combine like terms: 4x + -10x = -6x -50 + -6x = 2(3x + -10) + -2x Reorder the terms: -50 + -6x = 2(-10 + 3x) + -2x -50 + -6x = (-10 * 2 + 3x * 2) + -2x -50 + -6x = (-20 + 6x) + -2x Combine like terms: 6x + -2x = 4x -50 + -6x = -20 + 4x Solving -50 + -6x = -20 + 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. -50 + -6x + -4x = -20 + 4x + -4x Combine like terms: -6x + -4x = -10x -50 + -10x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -50 + -10x = -20 + 0 -50 + -10x = -20 Add '50' to each side of the equation. -50 + 50 + -10x = -20 + 50 Combine like terms: -50 + 50 = 0 0 + -10x = -20 + 50 -10x = -20 + 50 Combine like terms: -20 + 50 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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