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Simplifying 4(x + -5) + 19(7 + -1x) = 0 Reorder the terms: 4(-5 + x) + 19(7 + -1x) = 0 (-5 * 4 + x * 4) + 19(7 + -1x) = 0 (-20 + 4x) + 19(7 + -1x) = 0 -20 + 4x + (7 * 19 + -1x * 19) = 0 -20 + 4x + (133 + -19x) = 0 Reorder the terms: -20 + 133 + 4x + -19x = 0 Combine like terms: -20 + 133 = 113 113 + 4x + -19x = 0 Combine like terms: 4x + -19x = -15x 113 + -15x = 0 Solving 113 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-113' to each side of the equation. 113 + -113 + -15x = 0 + -113 Combine like terms: 113 + -113 = 0 0 + -15x = 0 + -113 -15x = 0 + -113 Combine like terms: 0 + -113 = -113 -15x = -113 Divide each side by '-15'. x = 7.533333333 Simplifying x = 7.533333333
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