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Simplifying 20 + -2(x + 4) = 3(2x + -3) Reorder the terms: 20 + -2(4 + x) = 3(2x + -3) 20 + (4 * -2 + x * -2) = 3(2x + -3) 20 + (-8 + -2x) = 3(2x + -3) Combine like terms: 20 + -8 = 12 12 + -2x = 3(2x + -3) Reorder the terms: 12 + -2x = 3(-3 + 2x) 12 + -2x = (-3 * 3 + 2x * 3) 12 + -2x = (-9 + 6x) Solving 12 + -2x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -2x + -6x = -9 + 6x + -6x Combine like terms: -2x + -6x = -8x 12 + -8x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -8x = -9 + 0 12 + -8x = -9 Add '-12' to each side of the equation. 12 + -12 + -8x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -9 + -12 -8x = -9 + -12 Combine like terms: -9 + -12 = -21 -8x = -21 Divide each side by '-8'. x = 2.625 Simplifying x = 2.625
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