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Simplifying -5(2x + -7) + -1(3x + 8) + -10x = -19 Reorder the terms: -5(-7 + 2x) + -1(3x + 8) + -10x = -19 (-7 * -5 + 2x * -5) + -1(3x + 8) + -10x = -19 (35 + -10x) + -1(3x + 8) + -10x = -19 Reorder the terms: 35 + -10x + -1(8 + 3x) + -10x = -19 35 + -10x + (8 * -1 + 3x * -1) + -10x = -19 35 + -10x + (-8 + -3x) + -10x = -19 Reorder the terms: 35 + -8 + -10x + -3x + -10x = -19 Combine like terms: 35 + -8 = 27 27 + -10x + -3x + -10x = -19 Combine like terms: -10x + -3x = -13x 27 + -13x + -10x = -19 Combine like terms: -13x + -10x = -23x 27 + -23x = -19 Solving 27 + -23x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -23x = -19 + -27 Combine like terms: 27 + -27 = 0 0 + -23x = -19 + -27 -23x = -19 + -27 Combine like terms: -19 + -27 = -46 -23x = -46 Divide each side by '-23'. x = 2 Simplifying x = 2
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