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Simplifying 3(5 + -1x) + 3 = 6(x + -3) (5 * 3 + -1x * 3) + 3 = 6(x + -3) (15 + -3x) + 3 = 6(x + -3) Reorder the terms: 15 + 3 + -3x = 6(x + -3) Combine like terms: 15 + 3 = 18 18 + -3x = 6(x + -3) Reorder the terms: 18 + -3x = 6(-3 + x) 18 + -3x = (-3 * 6 + x * 6) 18 + -3x = (-18 + 6x) Solving 18 + -3x = -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 + -3x + -6x = -18 + 6x + -6x Combine like terms: -3x + -6x = -9x 18 + -9x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -9x = -18 + 0 18 + -9x = -18 Add '-18' to each side of the equation. 18 + -18 + -9x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = -18 + -18 -9x = -18 + -18 Combine like terms: -18 + -18 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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