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Simplifying -29(x + 6) + 3 = -11x + 4(x + 4) Reorder the terms: -29(6 + x) + 3 = -11x + 4(x + 4) (6 * -29 + x * -29) + 3 = -11x + 4(x + 4) (-174 + -29x) + 3 = -11x + 4(x + 4) Reorder the terms: -174 + 3 + -29x = -11x + 4(x + 4) Combine like terms: -174 + 3 = -171 -171 + -29x = -11x + 4(x + 4) Reorder the terms: -171 + -29x = -11x + 4(4 + x) -171 + -29x = -11x + (4 * 4 + x * 4) -171 + -29x = -11x + (16 + 4x) Reorder the terms: -171 + -29x = 16 + -11x + 4x Combine like terms: -11x + 4x = -7x -171 + -29x = 16 + -7x Solving -171 + -29x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -171 + -29x + 7x = 16 + -7x + 7x Combine like terms: -29x + 7x = -22x -171 + -22x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -171 + -22x = 16 + 0 -171 + -22x = 16 Add '171' to each side of the equation. -171 + 171 + -22x = 16 + 171 Combine like terms: -171 + 171 = 0 0 + -22x = 16 + 171 -22x = 16 + 171 Combine like terms: 16 + 171 = 187 -22x = 187 Divide each side by '-22'. x = -8.5 Simplifying x = -8.5
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