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Simplifying 4(x + -5) + -3(2x + -9) = 19 Reorder the terms: 4(-5 + x) + -3(2x + -9) = 19 (-5 * 4 + x * 4) + -3(2x + -9) = 19 (-20 + 4x) + -3(2x + -9) = 19 Reorder the terms: -20 + 4x + -3(-9 + 2x) = 19 -20 + 4x + (-9 * -3 + 2x * -3) = 19 -20 + 4x + (27 + -6x) = 19 Reorder the terms: -20 + 27 + 4x + -6x = 19 Combine like terms: -20 + 27 = 7 7 + 4x + -6x = 19 Combine like terms: 4x + -6x = -2x 7 + -2x = 19 Solving 7 + -2x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 19 + -7 -2x = 19 + -7 Combine like terms: 19 + -7 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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