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Simplifying 24 + -3x = -4(6x + 3) + -4(-5 + -5x) Reorder the terms: 24 + -3x = -4(3 + 6x) + -4(-5 + -5x) 24 + -3x = (3 * -4 + 6x * -4) + -4(-5 + -5x) 24 + -3x = (-12 + -24x) + -4(-5 + -5x) 24 + -3x = -12 + -24x + (-5 * -4 + -5x * -4) 24 + -3x = -12 + -24x + (20 + 20x) Reorder the terms: 24 + -3x = -12 + 20 + -24x + 20x Combine like terms: -12 + 20 = 8 24 + -3x = 8 + -24x + 20x Combine like terms: -24x + 20x = -4x 24 + -3x = 8 + -4x Solving 24 + -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. 24 + -3x + 4x = 8 + -4x + 4x Combine like terms: -3x + 4x = 1x 24 + 1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 1x = 8 + 0 24 + 1x = 8 Add '-24' to each side of the equation. 24 + -24 + 1x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 8 + -24 1x = 8 + -24 Combine like terms: 8 + -24 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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