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Simplifying 5(3x + -5) = 6(x + -2) + -19 Reorder the terms: 5(-5 + 3x) = 6(x + -2) + -19 (-5 * 5 + 3x * 5) = 6(x + -2) + -19 (-25 + 15x) = 6(x + -2) + -19 Reorder the terms: -25 + 15x = 6(-2 + x) + -19 -25 + 15x = (-2 * 6 + x * 6) + -19 -25 + 15x = (-12 + 6x) + -19 Reorder the terms: -25 + 15x = -12 + -19 + 6x Combine like terms: -12 + -19 = -31 -25 + 15x = -31 + 6x Solving -25 + 15x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 15x + -6x = -31 + 6x + -6x Combine like terms: 15x + -6x = 9x -25 + 9x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 9x = -31 + 0 -25 + 9x = -31 Add '25' to each side of the equation. -25 + 25 + 9x = -31 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = -31 + 25 9x = -31 + 25 Combine like terms: -31 + 25 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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