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Simplifying x + 6(3x + -4) = 5x + -7 Reorder the terms: x + 6(-4 + 3x) = 5x + -7 x + (-4 * 6 + 3x * 6) = 5x + -7 x + (-24 + 18x) = 5x + -7 Reorder the terms: -24 + x + 18x = 5x + -7 Combine like terms: x + 18x = 19x -24 + 19x = 5x + -7 Reorder the terms: -24 + 19x = -7 + 5x Solving -24 + 19x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 19x + -5x = -7 + 5x + -5x Combine like terms: 19x + -5x = 14x -24 + 14x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 14x = -7 + 0 -24 + 14x = -7 Add '24' to each side of the equation. -24 + 24 + 14x = -7 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = -7 + 24 14x = -7 + 24 Combine like terms: -7 + 24 = 17 14x = 17 Divide each side by '14'. x = 1.214285714 Simplifying x = 1.214285714
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