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Simplifying x + -24 = 7(2x + 3) + -19 Reorder the terms: -24 + x = 7(2x + 3) + -19 Reorder the terms: -24 + x = 7(3 + 2x) + -19 -24 + x = (3 * 7 + 2x * 7) + -19 -24 + x = (21 + 14x) + -19 Reorder the terms: -24 + x = 21 + -19 + 14x Combine like terms: 21 + -19 = 2 -24 + x = 2 + 14x Solving -24 + x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + x + -14x = 2 + 14x + -14x Combine like terms: x + -14x = -13x -24 + -13x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + -13x = 2 + 0 -24 + -13x = 2 Add '24' to each side of the equation. -24 + 24 + -13x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = 2 + 24 -13x = 2 + 24 Combine like terms: 2 + 24 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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