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Simplifying -2(x + 6) + 3 = -11x + 4(x + 14) Reorder the terms: -2(6 + x) + 3 = -11x + 4(x + 14) (6 * -2 + x * -2) + 3 = -11x + 4(x + 14) (-12 + -2x) + 3 = -11x + 4(x + 14) Reorder the terms: -12 + 3 + -2x = -11x + 4(x + 14) Combine like terms: -12 + 3 = -9 -9 + -2x = -11x + 4(x + 14) Reorder the terms: -9 + -2x = -11x + 4(14 + x) -9 + -2x = -11x + (14 * 4 + x * 4) -9 + -2x = -11x + (56 + 4x) Reorder the terms: -9 + -2x = 56 + -11x + 4x Combine like terms: -11x + 4x = -7x -9 + -2x = 56 + -7x Solving -9 + -2x = 56 + -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. -9 + -2x + 7x = 56 + -7x + 7x Combine like terms: -2x + 7x = 5x -9 + 5x = 56 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 5x = 56 + 0 -9 + 5x = 56 Add '9' to each side of the equation. -9 + 9 + 5x = 56 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 56 + 9 5x = 56 + 9 Combine like terms: 56 + 9 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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