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Simplifying 2(x + -4) + -4(x + -2) = x + 9(x + -3) Reorder the terms: 2(-4 + x) + -4(x + -2) = x + 9(x + -3) (-4 * 2 + x * 2) + -4(x + -2) = x + 9(x + -3) (-8 + 2x) + -4(x + -2) = x + 9(x + -3) Reorder the terms: -8 + 2x + -4(-2 + x) = x + 9(x + -3) -8 + 2x + (-2 * -4 + x * -4) = x + 9(x + -3) -8 + 2x + (8 + -4x) = x + 9(x + -3) Reorder the terms: -8 + 8 + 2x + -4x = x + 9(x + -3) Combine like terms: -8 + 8 = 0 0 + 2x + -4x = x + 9(x + -3) 2x + -4x = x + 9(x + -3) Combine like terms: 2x + -4x = -2x -2x = x + 9(x + -3) Reorder the terms: -2x = x + 9(-3 + x) -2x = x + (-3 * 9 + x * 9) -2x = x + (-27 + 9x) Reorder the terms: -2x = -27 + x + 9x Combine like terms: x + 9x = 10x -2x = -27 + 10x Solving -2x = -27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2x + -10x = -27 + 10x + -10x Combine like terms: -2x + -10x = -12x -12x = -27 + 10x + -10x Combine like terms: 10x + -10x = 0 -12x = -27 + 0 -12x = -27 Divide each side by '-12'. x = 2.25 Simplifying x = 2.25
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