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Simplifying 3(x + 6) + -4x = 6(x + -3) Reorder the terms: 3(6 + x) + -4x = 6(x + -3) (6 * 3 + x * 3) + -4x = 6(x + -3) (18 + 3x) + -4x = 6(x + -3) Combine like terms: 3x + -4x = -1x 18 + -1x = 6(x + -3) Reorder the terms: 18 + -1x = 6(-3 + x) 18 + -1x = (-3 * 6 + x * 6) 18 + -1x = (-18 + 6x) Solving 18 + -1x = -18 + 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. 18 + -1x + -6x = -18 + 6x + -6x Combine like terms: -1x + -6x = -7x 18 + -7x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -7x = -18 + 0 18 + -7x = -18 Add '-18' to each side of the equation. 18 + -18 + -7x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -18 + -18 -7x = -18 + -18 Combine like terms: -18 + -18 = -36 -7x = -36 Divide each side by '-7'. x = 5.142857143 Simplifying x = 5.142857143
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