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Simplifying 2(2x + -5) + -3 = 2(x + -3) + 9 Reorder the terms: 2(-5 + 2x) + -3 = 2(x + -3) + 9 (-5 * 2 + 2x * 2) + -3 = 2(x + -3) + 9 (-10 + 4x) + -3 = 2(x + -3) + 9 Reorder the terms: -10 + -3 + 4x = 2(x + -3) + 9 Combine like terms: -10 + -3 = -13 -13 + 4x = 2(x + -3) + 9 Reorder the terms: -13 + 4x = 2(-3 + x) + 9 -13 + 4x = (-3 * 2 + x * 2) + 9 -13 + 4x = (-6 + 2x) + 9 Reorder the terms: -13 + 4x = -6 + 9 + 2x Combine like terms: -6 + 9 = 3 -13 + 4x = 3 + 2x Solving -13 + 4x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x -13 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 2x = 3 + 0 -13 + 2x = 3 Add '13' to each side of the equation. -13 + 13 + 2x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 3 + 13 2x = 3 + 13 Combine like terms: 3 + 13 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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