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Simplifying 2(2x + -11) + 15 = 3x + 12 Reorder the terms: 2(-11 + 2x) + 15 = 3x + 12 (-11 * 2 + 2x * 2) + 15 = 3x + 12 (-22 + 4x) + 15 = 3x + 12 Reorder the terms: -22 + 15 + 4x = 3x + 12 Combine like terms: -22 + 15 = -7 -7 + 4x = 3x + 12 Reorder the terms: -7 + 4x = 12 + 3x Solving -7 + 4x = 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. -7 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x = 12 + 0 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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