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Simplifying 4(x + -7) = 1 + 3x Reorder the terms: 4(-7 + x) = 1 + 3x (-7 * 4 + x * 4) = 1 + 3x (-28 + 4x) = 1 + 3x Solving -28 + 4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = 1 + 0 -28 + 1x = 1 Add '28' to each side of the equation. -28 + 28 + 1x = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 1 + 28 1x = 1 + 28 Combine like terms: 1 + 28 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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