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Simplifying 5(3x + -7) + -4(x + 1) + -16x = 0 Reorder the terms: 5(-7 + 3x) + -4(x + 1) + -16x = 0 (-7 * 5 + 3x * 5) + -4(x + 1) + -16x = 0 (-35 + 15x) + -4(x + 1) + -16x = 0 Reorder the terms: -35 + 15x + -4(1 + x) + -16x = 0 -35 + 15x + (1 * -4 + x * -4) + -16x = 0 -35 + 15x + (-4 + -4x) + -16x = 0 Reorder the terms: -35 + -4 + 15x + -4x + -16x = 0 Combine like terms: -35 + -4 = -39 -39 + 15x + -4x + -16x = 0 Combine like terms: 15x + -4x = 11x -39 + 11x + -16x = 0 Combine like terms: 11x + -16x = -5x -39 + -5x = 0 Solving -39 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -5x = 0 + 39 -5x = 0 + 39 Combine like terms: 0 + 39 = 39 -5x = 39 Divide each side by '-5'. x = -7.8 Simplifying x = -7.8
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