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Simplifying 2(x + -4) + -3(2x + -9) = 4x + -2(3 + -2x) Reorder the terms: 2(-4 + x) + -3(2x + -9) = 4x + -2(3 + -2x) (-4 * 2 + x * 2) + -3(2x + -9) = 4x + -2(3 + -2x) (-8 + 2x) + -3(2x + -9) = 4x + -2(3 + -2x) Reorder the terms: -8 + 2x + -3(-9 + 2x) = 4x + -2(3 + -2x) -8 + 2x + (-9 * -3 + 2x * -3) = 4x + -2(3 + -2x) -8 + 2x + (27 + -6x) = 4x + -2(3 + -2x) Reorder the terms: -8 + 27 + 2x + -6x = 4x + -2(3 + -2x) Combine like terms: -8 + 27 = 19 19 + 2x + -6x = 4x + -2(3 + -2x) Combine like terms: 2x + -6x = -4x 19 + -4x = 4x + -2(3 + -2x) 19 + -4x = 4x + (3 * -2 + -2x * -2) 19 + -4x = 4x + (-6 + 4x) Reorder the terms: 19 + -4x = -6 + 4x + 4x Combine like terms: 4x + 4x = 8x 19 + -4x = -6 + 8x Solving 19 + -4x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 19 + -4x + -8x = -6 + 8x + -8x Combine like terms: -4x + -8x = -12x 19 + -12x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -12x = -6 + 0 19 + -12x = -6 Add '-19' to each side of the equation. 19 + -19 + -12x = -6 + -19 Combine like terms: 19 + -19 = 0 0 + -12x = -6 + -19 -12x = -6 + -19 Combine like terms: -6 + -19 = -25 -12x = -25 Divide each side by '-12'. x = 2.083333333 Simplifying x = 2.083333333
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