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Simplifying 5(3x + -7) + -3(x + 1) + -16x = 0 Reorder the terms: 5(-7 + 3x) + -3(x + 1) + -16x = 0 (-7 * 5 + 3x * 5) + -3(x + 1) + -16x = 0 (-35 + 15x) + -3(x + 1) + -16x = 0 Reorder the terms: -35 + 15x + -3(1 + x) + -16x = 0 -35 + 15x + (1 * -3 + x * -3) + -16x = 0 -35 + 15x + (-3 + -3x) + -16x = 0 Reorder the terms: -35 + -3 + 15x + -3x + -16x = 0 Combine like terms: -35 + -3 = -38 -38 + 15x + -3x + -16x = 0 Combine like terms: 15x + -3x = 12x -38 + 12x + -16x = 0 Combine like terms: 12x + -16x = -4x -38 + -4x = 0 Solving -38 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -4x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -4x = 0 + 38 -4x = 0 + 38 Combine like terms: 0 + 38 = 38 -4x = 38 Divide each side by '-4'. x = -9.5 Simplifying x = -9.5
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