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Simplifying 4x + 7(2x + -6) = 3x + 3 Reorder the terms: 4x + 7(-6 + 2x) = 3x + 3 4x + (-6 * 7 + 2x * 7) = 3x + 3 4x + (-42 + 14x) = 3x + 3 Reorder the terms: -42 + 4x + 14x = 3x + 3 Combine like terms: 4x + 14x = 18x -42 + 18x = 3x + 3 Reorder the terms: -42 + 18x = 3 + 3x Solving -42 + 18x = 3 + 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. -42 + 18x + -3x = 3 + 3x + -3x Combine like terms: 18x + -3x = 15x -42 + 15x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 15x = 3 + 0 -42 + 15x = 3 Add '42' to each side of the equation. -42 + 42 + 15x = 3 + 42 Combine like terms: -42 + 42 = 0 0 + 15x = 3 + 42 15x = 3 + 42 Combine like terms: 3 + 42 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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