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Simplifying 5(x + -7) + 17 = 3(x + -4) Reorder the terms: 5(-7 + x) + 17 = 3(x + -4) (-7 * 5 + x * 5) + 17 = 3(x + -4) (-35 + 5x) + 17 = 3(x + -4) Reorder the terms: -35 + 17 + 5x = 3(x + -4) Combine like terms: -35 + 17 = -18 -18 + 5x = 3(x + -4) Reorder the terms: -18 + 5x = 3(-4 + x) -18 + 5x = (-4 * 3 + x * 3) -18 + 5x = (-12 + 3x) Solving -18 + 5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -18 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 2x = -12 + 0 -18 + 2x = -12 Add '18' to each side of the equation. -18 + 18 + 2x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -12 + 18 2x = -12 + 18 Combine like terms: -12 + 18 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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