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Simplifying 2x + 5 + 4x + -19 = 2x + 7 + -2(3 + -1x) Reorder the terms: 5 + -19 + 2x + 4x = 2x + 7 + -2(3 + -1x) Combine like terms: 5 + -19 = -14 -14 + 2x + 4x = 2x + 7 + -2(3 + -1x) Combine like terms: 2x + 4x = 6x -14 + 6x = 2x + 7 + -2(3 + -1x) -14 + 6x = 2x + 7 + (3 * -2 + -1x * -2) -14 + 6x = 2x + 7 + (-6 + 2x) Reorder the terms: -14 + 6x = 7 + -6 + 2x + 2x Combine like terms: 7 + -6 = 1 -14 + 6x = 1 + 2x + 2x Combine like terms: 2x + 2x = 4x -14 + 6x = 1 + 4x Solving -14 + 6x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 6x + -4x = 1 + 4x + -4x Combine like terms: 6x + -4x = 2x -14 + 2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 2x = 1 + 0 -14 + 2x = 1 Add '14' to each side of the equation. -14 + 14 + 2x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 1 + 14 2x = 1 + 14 Combine like terms: 1 + 14 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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