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Simplifying x + 4(x + -6) = 2(x + -2) + -23 Reorder the terms: x + 4(-6 + x) = 2(x + -2) + -23 x + (-6 * 4 + x * 4) = 2(x + -2) + -23 x + (-24 + 4x) = 2(x + -2) + -23 Reorder the terms: -24 + x + 4x = 2(x + -2) + -23 Combine like terms: x + 4x = 5x -24 + 5x = 2(x + -2) + -23 Reorder the terms: -24 + 5x = 2(-2 + x) + -23 -24 + 5x = (-2 * 2 + x * 2) + -23 -24 + 5x = (-4 + 2x) + -23 Reorder the terms: -24 + 5x = -4 + -23 + 2x Combine like terms: -4 + -23 = -27 -24 + 5x = -27 + 2x Solving -24 + 5x = -27 + 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. -24 + 5x + -2x = -27 + 2x + -2x Combine like terms: 5x + -2x = 3x -24 + 3x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 3x = -27 + 0 -24 + 3x = -27 Add '24' to each side of the equation. -24 + 24 + 3x = -27 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -27 + 24 3x = -27 + 24 Combine like terms: -27 + 24 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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