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Simplifying 2(x + 4 + -6) = x + 2(x + 2) + -23 Reorder the terms: 2(4 + -6 + x) = x + 2(x + 2) + -23 Combine like terms: 4 + -6 = -2 2(-2 + x) = x + 2(x + 2) + -23 (-2 * 2 + x * 2) = x + 2(x + 2) + -23 (-4 + 2x) = x + 2(x + 2) + -23 Reorder the terms: -4 + 2x = x + 2(2 + x) + -23 -4 + 2x = x + (2 * 2 + x * 2) + -23 -4 + 2x = x + (4 + 2x) + -23 Reorder the terms: -4 + 2x = 4 + -23 + x + 2x Combine like terms: 4 + -23 = -19 -4 + 2x = -19 + x + 2x Combine like terms: x + 2x = 3x -4 + 2x = -19 + 3x Solving -4 + 2x = -19 + 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. -4 + 2x + -3x = -19 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = -19 + 0 -4 + -1x = -19 Add '4' to each side of the equation. -4 + 4 + -1x = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -19 + 4 -1x = -19 + 4 Combine like terms: -19 + 4 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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