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Simplifying 5(3x + -7) + -2(x + 1) + -17x = 0 Reorder the terms: 5(-7 + 3x) + -2(x + 1) + -17x = 0 (-7 * 5 + 3x * 5) + -2(x + 1) + -17x = 0 (-35 + 15x) + -2(x + 1) + -17x = 0 Reorder the terms: -35 + 15x + -2(1 + x) + -17x = 0 -35 + 15x + (1 * -2 + x * -2) + -17x = 0 -35 + 15x + (-2 + -2x) + -17x = 0 Reorder the terms: -35 + -2 + 15x + -2x + -17x = 0 Combine like terms: -35 + -2 = -37 -37 + 15x + -2x + -17x = 0 Combine like terms: 15x + -2x = 13x -37 + 13x + -17x = 0 Combine like terms: 13x + -17x = -4x -37 + -4x = 0 Solving -37 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -4x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -4x = 0 + 37 -4x = 0 + 37 Combine like terms: 0 + 37 = 37 -4x = 37 Divide each side by '-4'. x = -9.25 Simplifying x = -9.25
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