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Simplifying 2(x + -3) + -5(3x + -1) = 6x + -8 Reorder the terms: 2(-3 + x) + -5(3x + -1) = 6x + -8 (-3 * 2 + x * 2) + -5(3x + -1) = 6x + -8 (-6 + 2x) + -5(3x + -1) = 6x + -8 Reorder the terms: -6 + 2x + -5(-1 + 3x) = 6x + -8 -6 + 2x + (-1 * -5 + 3x * -5) = 6x + -8 -6 + 2x + (5 + -15x) = 6x + -8 Reorder the terms: -6 + 5 + 2x + -15x = 6x + -8 Combine like terms: -6 + 5 = -1 -1 + 2x + -15x = 6x + -8 Combine like terms: 2x + -15x = -13x -1 + -13x = 6x + -8 Reorder the terms: -1 + -13x = -8 + 6x Solving -1 + -13x = -8 + 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. -1 + -13x + -6x = -8 + 6x + -6x Combine like terms: -13x + -6x = -19x -1 + -19x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -19x = -8 + 0 -1 + -19x = -8 Add '1' to each side of the equation. -1 + 1 + -19x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -19x = -8 + 1 -19x = -8 + 1 Combine like terms: -8 + 1 = -7 -19x = -7 Divide each side by '-19'. x = 0.3684210526 Simplifying x = 0.3684210526
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