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Simplifying 4x + 6 + -7x = 18 + 5x + 10x Reorder the terms: 6 + 4x + -7x = 18 + 5x + 10x Combine like terms: 4x + -7x = -3x 6 + -3x = 18 + 5x + 10x Combine like terms: 5x + 10x = 15x 6 + -3x = 18 + 15x Solving 6 + -3x = 18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + -3x + -15x = 18 + 15x + -15x Combine like terms: -3x + -15x = -18x 6 + -18x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -18x = 18 + 0 6 + -18x = 18 Add '-6' to each side of the equation. 6 + -6 + -18x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 18 + -6 -18x = 18 + -6 Combine like terms: 18 + -6 = 12 -18x = 12 Divide each side by '-18'. x = -0.6666666667 Simplifying x = -0.6666666667
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