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Simplifying 2(x + 5) + 4x + -19 = 2x + 7 + -2(3x) Reorder the terms: 2(5 + x) + 4x + -19 = 2x + 7 + -2(3x) (5 * 2 + x * 2) + 4x + -19 = 2x + 7 + -2(3x) (10 + 2x) + 4x + -19 = 2x + 7 + -2(3x) Reorder the terms: 10 + -19 + 2x + 4x = 2x + 7 + -2(3x) Combine like terms: 10 + -19 = -9 -9 + 2x + 4x = 2x + 7 + -2(3x) Combine like terms: 2x + 4x = 6x -9 + 6x = 2x + 7 + -2(3x) Remove parenthesis around (3x) -9 + 6x = 2x + 7 + -2 * 3x Multiply -2 * 3 -9 + 6x = 2x + 7 + -6x Reorder the terms: -9 + 6x = 7 + 2x + -6x Combine like terms: 2x + -6x = -4x -9 + 6x = 7 + -4x Solving -9 + 6x = 7 + -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. -9 + 6x + 4x = 7 + -4x + 4x Combine like terms: 6x + 4x = 10x -9 + 10x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 10x = 7 + 0 -9 + 10x = 7 Add '9' to each side of the equation. -9 + 9 + 10x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 7 + 9 10x = 7 + 9 Combine like terms: 7 + 9 = 16 10x = 16 Divide each side by '10'. x = 1.6 Simplifying x = 1.6
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