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Simplifying 4x + -2(3x + -8) = 2(2x + -9) + 7x Reorder the terms: 4x + -2(-8 + 3x) = 2(2x + -9) + 7x 4x + (-8 * -2 + 3x * -2) = 2(2x + -9) + 7x 4x + (16 + -6x) = 2(2x + -9) + 7x Reorder the terms: 16 + 4x + -6x = 2(2x + -9) + 7x Combine like terms: 4x + -6x = -2x 16 + -2x = 2(2x + -9) + 7x Reorder the terms: 16 + -2x = 2(-9 + 2x) + 7x 16 + -2x = (-9 * 2 + 2x * 2) + 7x 16 + -2x = (-18 + 4x) + 7x Combine like terms: 4x + 7x = 11x 16 + -2x = -18 + 11x Solving 16 + -2x = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 16 + -2x + -11x = -18 + 11x + -11x Combine like terms: -2x + -11x = -13x 16 + -13x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 16 + -13x = -18 + 0 16 + -13x = -18 Add '-16' to each side of the equation. 16 + -16 + -13x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = -18 + -16 -13x = -18 + -16 Combine like terms: -18 + -16 = -34 -13x = -34 Divide each side by '-13'. x = 2.615384615 Simplifying x = 2.615384615
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