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Simplifying 7(x + 3) + -5(6x + -7) = 19 Reorder the terms: 7(3 + x) + -5(6x + -7) = 19 (3 * 7 + x * 7) + -5(6x + -7) = 19 (21 + 7x) + -5(6x + -7) = 19 Reorder the terms: 21 + 7x + -5(-7 + 6x) = 19 21 + 7x + (-7 * -5 + 6x * -5) = 19 21 + 7x + (35 + -30x) = 19 Reorder the terms: 21 + 35 + 7x + -30x = 19 Combine like terms: 21 + 35 = 56 56 + 7x + -30x = 19 Combine like terms: 7x + -30x = -23x 56 + -23x = 19 Solving 56 + -23x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -23x = 19 + -56 Combine like terms: 56 + -56 = 0 0 + -23x = 19 + -56 -23x = 19 + -56 Combine like terms: 19 + -56 = -37 -23x = -37 Divide each side by '-23'. x = 1.608695652 Simplifying x = 1.608695652
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