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Simplifying 20 + -3x = -4(7x + 3) + -4(-5 + -6x) Reorder the terms: 20 + -3x = -4(3 + 7x) + -4(-5 + -6x) 20 + -3x = (3 * -4 + 7x * -4) + -4(-5 + -6x) 20 + -3x = (-12 + -28x) + -4(-5 + -6x) 20 + -3x = -12 + -28x + (-5 * -4 + -6x * -4) 20 + -3x = -12 + -28x + (20 + 24x) Reorder the terms: 20 + -3x = -12 + 20 + -28x + 24x Combine like terms: -12 + 20 = 8 20 + -3x = 8 + -28x + 24x Combine like terms: -28x + 24x = -4x 20 + -3x = 8 + -4x Solving 20 + -3x = 8 + -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. 20 + -3x + 4x = 8 + -4x + 4x Combine like terms: -3x + 4x = 1x 20 + 1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 1x = 8 + 0 20 + 1x = 8 Add '-20' to each side of the equation. 20 + -20 + 1x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 8 + -20 1x = 8 + -20 Combine like terms: 8 + -20 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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