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Simplifying 4(x + -7) = 4(-4x + 3) Reorder the terms: 4(-7 + x) = 4(-4x + 3) (-7 * 4 + x * 4) = 4(-4x + 3) (-28 + 4x) = 4(-4x + 3) Reorder the terms: -28 + 4x = 4(3 + -4x) -28 + 4x = (3 * 4 + -4x * 4) -28 + 4x = (12 + -16x) Solving -28 + 4x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -28 + 4x + 16x = 12 + -16x + 16x Combine like terms: 4x + 16x = 20x -28 + 20x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 -28 + 20x = 12 + 0 -28 + 20x = 12 Add '28' to each side of the equation. -28 + 28 + 20x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 20x = 12 + 28 20x = 12 + 28 Combine like terms: 12 + 28 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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