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Simplifying 3(x + 1) + -4 = 4x + -21 Reorder the terms: 3(1 + x) + -4 = 4x + -21 (1 * 3 + x * 3) + -4 = 4x + -21 (3 + 3x) + -4 = 4x + -21 Reorder the terms: 3 + -4 + 3x = 4x + -21 Combine like terms: 3 + -4 = -1 -1 + 3x = 4x + -21 Reorder the terms: -1 + 3x = -21 + 4x Solving -1 + 3x = -21 + 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. -1 + 3x + -4x = -21 + 4x + -4x Combine like terms: 3x + -4x = -1x -1 + -1x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1x = -21 + 0 -1 + -1x = -21 Add '1' to each side of the equation. -1 + 1 + -1x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -21 + 1 -1x = -21 + 1 Combine like terms: -21 + 1 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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