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Simplifying 6x + -18 = 4x + 2(2x + -11) Reorder the terms: -18 + 6x = 4x + 2(2x + -11) Reorder the terms: -18 + 6x = 4x + 2(-11 + 2x) -18 + 6x = 4x + (-11 * 2 + 2x * 2) -18 + 6x = 4x + (-22 + 4x) Reorder the terms: -18 + 6x = -22 + 4x + 4x Combine like terms: 4x + 4x = 8x -18 + 6x = -22 + 8x Solving -18 + 6x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 6x + -8x = -22 + 8x + -8x Combine like terms: 6x + -8x = -2x -18 + -2x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -2x = -22 + 0 -18 + -2x = -22 Add '18' to each side of the equation. -18 + 18 + -2x = -22 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -22 + 18 -2x = -22 + 18 Combine like terms: -22 + 18 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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