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Simplifying 2(x + -3) + 5x = 5(2x + 6) Reorder the terms: 2(-3 + x) + 5x = 5(2x + 6) (-3 * 2 + x * 2) + 5x = 5(2x + 6) (-6 + 2x) + 5x = 5(2x + 6) Combine like terms: 2x + 5x = 7x -6 + 7x = 5(2x + 6) Reorder the terms: -6 + 7x = 5(6 + 2x) -6 + 7x = (6 * 5 + 2x * 5) -6 + 7x = (30 + 10x) Solving -6 + 7x = 30 + 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 + 7x + -10x = 30 + 10x + -10x Combine like terms: 7x + -10x = -3x -6 + -3x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -3x = 30 + 0 -6 + -3x = 30 Add '6' to each side of the equation. -6 + 6 + -3x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 30 + 6 -3x = 30 + 6 Combine like terms: 30 + 6 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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