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Simplifying 4(7x + -7) + 12x = 13x + -4 + 3 Reorder the terms: 4(-7 + 7x) + 12x = 13x + -4 + 3 (-7 * 4 + 7x * 4) + 12x = 13x + -4 + 3 (-28 + 28x) + 12x = 13x + -4 + 3 Combine like terms: 28x + 12x = 40x -28 + 40x = 13x + -4 + 3 Reorder the terms: -28 + 40x = -4 + 3 + 13x Combine like terms: -4 + 3 = -1 -28 + 40x = -1 + 13x Solving -28 + 40x = -1 + 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. -28 + 40x + -13x = -1 + 13x + -13x Combine like terms: 40x + -13x = 27x -28 + 27x = -1 + 13x + -13x Combine like terms: 13x + -13x = 0 -28 + 27x = -1 + 0 -28 + 27x = -1 Add '28' to each side of the equation. -28 + 28 + 27x = -1 + 28 Combine like terms: -28 + 28 = 0 0 + 27x = -1 + 28 27x = -1 + 28 Combine like terms: -1 + 28 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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