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Simplifying 2(x + -3) = 5(2x + 3) + 3 Reorder the terms: 2(-3 + x) = 5(2x + 3) + 3 (-3 * 2 + x * 2) = 5(2x + 3) + 3 (-6 + 2x) = 5(2x + 3) + 3 Reorder the terms: -6 + 2x = 5(3 + 2x) + 3 -6 + 2x = (3 * 5 + 2x * 5) + 3 -6 + 2x = (15 + 10x) + 3 Reorder the terms: -6 + 2x = 15 + 3 + 10x Combine like terms: 15 + 3 = 18 -6 + 2x = 18 + 10x Solving -6 + 2x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 2x + -10x = 18 + 10x + -10x Combine like terms: 2x + -10x = -8x -6 + -8x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -8x = 18 + 0 -6 + -8x = 18 Add '6' to each side of the equation. -6 + 6 + -8x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 18 + 6 -8x = 18 + 6 Combine like terms: 18 + 6 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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