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Simplifying 3x + 8 + -14x = 4(x + -2) + -11x Reorder the terms: 8 + 3x + -14x = 4(x + -2) + -11x Combine like terms: 3x + -14x = -11x 8 + -11x = 4(x + -2) + -11x Reorder the terms: 8 + -11x = 4(-2 + x) + -11x 8 + -11x = (-2 * 4 + x * 4) + -11x 8 + -11x = (-8 + 4x) + -11x Combine like terms: 4x + -11x = -7x 8 + -11x = -8 + -7x Solving 8 + -11x = -8 + -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. 8 + -11x + 7x = -8 + -7x + 7x Combine like terms: -11x + 7x = -4x 8 + -4x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + -4x = -8 + 0 8 + -4x = -8 Add '-8' to each side of the equation. 8 + -8 + -4x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -8 + -8 -4x = -8 + -8 Combine like terms: -8 + -8 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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