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Simplifying 12 + 3(x + -4) + -18 = 6[5 + -4(9 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -18 = 6[5 + -4(9 + -1x)] 12 + (-4 * 3 + x * 3) + -18 = 6[5 + -4(9 + -1x)] 12 + (-12 + 3x) + -18 = 6[5 + -4(9 + -1x)] Reorder the terms: 12 + -12 + -18 + 3x = 6[5 + -4(9 + -1x)] Combine like terms: 12 + -12 = 0 0 + -18 + 3x = 6[5 + -4(9 + -1x)] -18 + 3x = 6[5 + -4(9 + -1x)] -18 + 3x = 6[5 + (9 * -4 + -1x * -4)] -18 + 3x = 6[5 + (-36 + 4x)] Combine like terms: 5 + -36 = -31 -18 + 3x = 6[-31 + 4x] -18 + 3x = [-31 * 6 + 4x * 6] -18 + 3x = [-186 + 24x] Solving -18 + 3x = -186 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -18 + 3x + -24x = -186 + 24x + -24x Combine like terms: 3x + -24x = -21x -18 + -21x = -186 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 + -21x = -186 + 0 -18 + -21x = -186 Add '18' to each side of the equation. -18 + 18 + -21x = -186 + 18 Combine like terms: -18 + 18 = 0 0 + -21x = -186 + 18 -21x = -186 + 18 Combine like terms: -186 + 18 = -168 -21x = -168 Divide each side by '-21'. x = 8 Simplifying x = 8
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