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Simplifying 4x + 2(x + -3) = 3(x + 5) + -3 Reorder the terms: 4x + 2(-3 + x) = 3(x + 5) + -3 4x + (-3 * 2 + x * 2) = 3(x + 5) + -3 4x + (-6 + 2x) = 3(x + 5) + -3 Reorder the terms: -6 + 4x + 2x = 3(x + 5) + -3 Combine like terms: 4x + 2x = 6x -6 + 6x = 3(x + 5) + -3 Reorder the terms: -6 + 6x = 3(5 + x) + -3 -6 + 6x = (5 * 3 + x * 3) + -3 -6 + 6x = (15 + 3x) + -3 Reorder the terms: -6 + 6x = 15 + -3 + 3x Combine like terms: 15 + -3 = 12 -6 + 6x = 12 + 3x Solving -6 + 6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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