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Simplifying 5(4x + -7) + -3(x + 4) + -19x = 0 Reorder the terms: 5(-7 + 4x) + -3(x + 4) + -19x = 0 (-7 * 5 + 4x * 5) + -3(x + 4) + -19x = 0 (-35 + 20x) + -3(x + 4) + -19x = 0 Reorder the terms: -35 + 20x + -3(4 + x) + -19x = 0 -35 + 20x + (4 * -3 + x * -3) + -19x = 0 -35 + 20x + (-12 + -3x) + -19x = 0 Reorder the terms: -35 + -12 + 20x + -3x + -19x = 0 Combine like terms: -35 + -12 = -47 -47 + 20x + -3x + -19x = 0 Combine like terms: 20x + -3x = 17x -47 + 17x + -19x = 0 Combine like terms: 17x + -19x = -2x -47 + -2x = 0 Solving -47 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -2x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -2x = 0 + 47 -2x = 0 + 47 Combine like terms: 0 + 47 = 47 -2x = 47 Divide each side by '-2'. x = -23.5 Simplifying x = -23.5
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