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Simplifying 4x + -7 * 3 = 13x + 2 * 12 Multiply -7 * 3 4x + -21 = 13x + 2 * 12 Reorder the terms: -21 + 4x = 13x + 2 * 12 Multiply 2 * 12 -21 + 4x = 13x + 24 Reorder the terms: -21 + 4x = 24 + 13x Solving -21 + 4x = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -21 + 4x + -13x = 24 + 13x + -13x Combine like terms: 4x + -13x = -9x -21 + -9x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 -21 + -9x = 24 + 0 -21 + -9x = 24 Add '21' to each side of the equation. -21 + 21 + -9x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 24 + 21 -9x = 24 + 21 Combine like terms: 24 + 21 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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