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Simplifying 3x + 3(4x + -13) = 4x + -3x Reorder the terms: 3x + 3(-13 + 4x) = 4x + -3x 3x + (-13 * 3 + 4x * 3) = 4x + -3x 3x + (-39 + 12x) = 4x + -3x Reorder the terms: -39 + 3x + 12x = 4x + -3x Combine like terms: 3x + 12x = 15x -39 + 15x = 4x + -3x Combine like terms: 4x + -3x = 1x -39 + 15x = 1x Solving -39 + 15x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -39 + 15x + -1x = 1x + -1x Combine like terms: 15x + -1x = 14x -39 + 14x = 1x + -1x Combine like terms: 1x + -1x = 0 -39 + 14x = 0 Add '39' to each side of the equation. -39 + 39 + 14x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 14x = 0 + 39 14x = 0 + 39 Combine like terms: 0 + 39 = 39 14x = 39 Divide each side by '14'. x = 2.785714286 Simplifying x = 2.785714286
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