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Simplifying 4(3x + 1) + 3(2x + -2) = 3x + 28 Reorder the terms: 4(1 + 3x) + 3(2x + -2) = 3x + 28 (1 * 4 + 3x * 4) + 3(2x + -2) = 3x + 28 (4 + 12x) + 3(2x + -2) = 3x + 28 Reorder the terms: 4 + 12x + 3(-2 + 2x) = 3x + 28 4 + 12x + (-2 * 3 + 2x * 3) = 3x + 28 4 + 12x + (-6 + 6x) = 3x + 28 Reorder the terms: 4 + -6 + 12x + 6x = 3x + 28 Combine like terms: 4 + -6 = -2 -2 + 12x + 6x = 3x + 28 Combine like terms: 12x + 6x = 18x -2 + 18x = 3x + 28 Reorder the terms: -2 + 18x = 28 + 3x Solving -2 + 18x = 28 + 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. -2 + 18x + -3x = 28 + 3x + -3x Combine like terms: 18x + -3x = 15x -2 + 15x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 15x = 28 + 0 -2 + 15x = 28 Add '2' to each side of the equation. -2 + 2 + 15x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 28 + 2 15x = 28 + 2 Combine like terms: 28 + 2 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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