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Simplifying 3x + -4 = 4x + 18 + 2(x + 3) Reorder the terms: -4 + 3x = 4x + 18 + 2(x + 3) Reorder the terms: -4 + 3x = 4x + 18 + 2(3 + x) -4 + 3x = 4x + 18 + (3 * 2 + x * 2) -4 + 3x = 4x + 18 + (6 + 2x) Reorder the terms: -4 + 3x = 18 + 6 + 4x + 2x Combine like terms: 18 + 6 = 24 -4 + 3x = 24 + 4x + 2x Combine like terms: 4x + 2x = 6x -4 + 3x = 24 + 6x Solving -4 + 3x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 3x + -6x = 24 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = 24 + 0 -4 + -3x = 24 Add '4' to each side of the equation. -4 + 4 + -3x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 24 + 4 -3x = 24 + 4 Combine like terms: 24 + 4 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333
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