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Simplifying 19 + -2x + -1(6 + -4)(7x + -2) + 3x + 15 = 0 Combine like terms: 6 + -4 = 2 19 + -2x + -1(2)(7x + -2) + 3x + 15 = 0 Reorder the terms: 19 + -2x + -1 * 2(-2 + 7x) + 3x + 15 = 0 Multiply -1 * 2 19 + -2x + -2(-2 + 7x) + 3x + 15 = 0 19 + -2x + (-2 * -2 + 7x * -2) + 3x + 15 = 0 19 + -2x + (4 + -14x) + 3x + 15 = 0 Reorder the terms: 19 + 4 + 15 + -2x + -14x + 3x = 0 Combine like terms: 19 + 4 = 23 23 + 15 + -2x + -14x + 3x = 0 Combine like terms: 23 + 15 = 38 38 + -2x + -14x + 3x = 0 Combine like terms: -2x + -14x = -16x 38 + -16x + 3x = 0 Combine like terms: -16x + 3x = -13x 38 + -13x = 0 Solving 38 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -13x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -13x = 0 + -38 -13x = 0 + -38 Combine like terms: 0 + -38 = -38 -13x = -38 Divide each side by '-13'. x = 2.923076923 Simplifying x = 2.923076923
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