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Simplifying 28 + -7x = 4(6x + 2) + -4(-5 + -4x) Reorder the terms: 28 + -7x = 4(2 + 6x) + -4(-5 + -4x) 28 + -7x = (2 * 4 + 6x * 4) + -4(-5 + -4x) 28 + -7x = (8 + 24x) + -4(-5 + -4x) 28 + -7x = 8 + 24x + (-5 * -4 + -4x * -4) 28 + -7x = 8 + 24x + (20 + 16x) Reorder the terms: 28 + -7x = 8 + 20 + 24x + 16x Combine like terms: 8 + 20 = 28 28 + -7x = 28 + 24x + 16x Combine like terms: 24x + 16x = 40x 28 + -7x = 28 + 40x Add '-28' to each side of the equation. 28 + -28 + -7x = 28 + -28 + 40x Combine like terms: 28 + -28 = 0 0 + -7x = 28 + -28 + 40x -7x = 28 + -28 + 40x Combine like terms: 28 + -28 = 0 -7x = 0 + 40x -7x = 40x Solving -7x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -7x + -40x = 40x + -40x Combine like terms: -7x + -40x = -47x -47x = 40x + -40x Combine like terms: 40x + -40x = 0 -47x = 0 Divide each side by '-47'. x = 0 Simplifying x = 0
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