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Simplifying 5(3x + -7) + -6(5x + -3) = 19x Reorder the terms: 5(-7 + 3x) + -6(5x + -3) = 19x (-7 * 5 + 3x * 5) + -6(5x + -3) = 19x (-35 + 15x) + -6(5x + -3) = 19x Reorder the terms: -35 + 15x + -6(-3 + 5x) = 19x -35 + 15x + (-3 * -6 + 5x * -6) = 19x -35 + 15x + (18 + -30x) = 19x Reorder the terms: -35 + 18 + 15x + -30x = 19x Combine like terms: -35 + 18 = -17 -17 + 15x + -30x = 19x Combine like terms: 15x + -30x = -15x -17 + -15x = 19x Solving -17 + -15x = 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -17 + -15x + -19x = 19x + -19x Combine like terms: -15x + -19x = -34x -17 + -34x = 19x + -19x Combine like terms: 19x + -19x = 0 -17 + -34x = 0 Add '17' to each side of the equation. -17 + 17 + -34x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -34x = 0 + 17 -34x = 0 + 17 Combine like terms: 0 + 17 = 17 -34x = 17 Divide each side by '-34'. x = -0.5 Simplifying x = -0.5
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