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Simplifying 28 + -3x = -4(6x + 2) + -4(-5 + -5x) Reorder the terms: 28 + -3x = -4(2 + 6x) + -4(-5 + -5x) 28 + -3x = (2 * -4 + 6x * -4) + -4(-5 + -5x) 28 + -3x = (-8 + -24x) + -4(-5 + -5x) 28 + -3x = -8 + -24x + (-5 * -4 + -5x * -4) 28 + -3x = -8 + -24x + (20 + 20x) Reorder the terms: 28 + -3x = -8 + 20 + -24x + 20x Combine like terms: -8 + 20 = 12 28 + -3x = 12 + -24x + 20x Combine like terms: -24x + 20x = -4x 28 + -3x = 12 + -4x Solving 28 + -3x = 12 + -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. 28 + -3x + 4x = 12 + -4x + 4x Combine like terms: -3x + 4x = 1x 28 + 1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + 1x = 12 + 0 28 + 1x = 12 Add '-28' to each side of the equation. 28 + -28 + 1x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 12 + -28 1x = 12 + -28 Combine like terms: 12 + -28 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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