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Simplifying 6(2x + -3) = 15x + -3 Reorder the terms: 6(-3 + 2x) = 15x + -3 (-3 * 6 + 2x * 6) = 15x + -3 (-18 + 12x) = 15x + -3 Reorder the terms: -18 + 12x = -3 + 15x Solving -18 + 12x = -3 + 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. -18 + 12x + -15x = -3 + 15x + -15x Combine like terms: 12x + -15x = -3x -18 + -3x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + -3x = -3 + 0 -18 + -3x = -3 Add '18' to each side of the equation. -18 + 18 + -3x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -3 + 18 -3x = -3 + 18 Combine like terms: -3 + 18 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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