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Simplifying 12 + 3(x + -4) + -23 = 2[5 + -4(6 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -23 = 2[5 + -4(6 + -1x)] 12 + (-4 * 3 + x * 3) + -23 = 2[5 + -4(6 + -1x)] 12 + (-12 + 3x) + -23 = 2[5 + -4(6 + -1x)] Reorder the terms: 12 + -12 + -23 + 3x = 2[5 + -4(6 + -1x)] Combine like terms: 12 + -12 = 0 0 + -23 + 3x = 2[5 + -4(6 + -1x)] -23 + 3x = 2[5 + -4(6 + -1x)] -23 + 3x = 2[5 + (6 * -4 + -1x * -4)] -23 + 3x = 2[5 + (-24 + 4x)] Combine like terms: 5 + -24 = -19 -23 + 3x = 2[-19 + 4x] -23 + 3x = [-19 * 2 + 4x * 2] -23 + 3x = [-38 + 8x] Solving -23 + 3x = -38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -23 + 3x + -8x = -38 + 8x + -8x Combine like terms: 3x + -8x = -5x -23 + -5x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + -5x = -38 + 0 -23 + -5x = -38 Add '23' to each side of the equation. -23 + 23 + -5x = -38 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = -38 + 23 -5x = -38 + 23 Combine like terms: -38 + 23 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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