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Simplifying 2(x + -3) + 2x = 5(x + 3) + 2x Reorder the terms: 2(-3 + x) + 2x = 5(x + 3) + 2x (-3 * 2 + x * 2) + 2x = 5(x + 3) + 2x (-6 + 2x) + 2x = 5(x + 3) + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = 5(x + 3) + 2x Reorder the terms: -6 + 4x = 5(3 + x) + 2x -6 + 4x = (3 * 5 + x * 5) + 2x -6 + 4x = (15 + 5x) + 2x Combine like terms: 5x + 2x = 7x -6 + 4x = 15 + 7x Solving -6 + 4x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 4x + -7x = 15 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = 15 + 0 -6 + -3x = 15 Add '6' to each side of the equation. -6 + 6 + -3x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 15 + 6 -3x = 15 + 6 Combine like terms: 15 + 6 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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