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Simplifying 12 + 3(x + -4) + -18 = 3[5 + -4(5 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -18 = 3[5 + -4(5 + -1x)] 12 + (-4 * 3 + x * 3) + -18 = 3[5 + -4(5 + -1x)] 12 + (-12 + 3x) + -18 = 3[5 + -4(5 + -1x)] Reorder the terms: 12 + -12 + -18 + 3x = 3[5 + -4(5 + -1x)] Combine like terms: 12 + -12 = 0 0 + -18 + 3x = 3[5 + -4(5 + -1x)] -18 + 3x = 3[5 + -4(5 + -1x)] -18 + 3x = 3[5 + (5 * -4 + -1x * -4)] -18 + 3x = 3[5 + (-20 + 4x)] Combine like terms: 5 + -20 = -15 -18 + 3x = 3[-15 + 4x] -18 + 3x = [-15 * 3 + 4x * 3] -18 + 3x = [-45 + 12x] Solving -18 + 3x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 3x + -12x = -45 + 12x + -12x Combine like terms: 3x + -12x = -9x -18 + -9x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -9x = -45 + 0 -18 + -9x = -45 Add '18' to each side of the equation. -18 + 18 + -9x = -45 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = -45 + 18 -9x = -45 + 18 Combine like terms: -45 + 18 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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