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Simplifying -18 = 6(6x + 3) + 4(x + -9) Reorder the terms: -18 = 6(3 + 6x) + 4(x + -9) -18 = (3 * 6 + 6x * 6) + 4(x + -9) -18 = (18 + 36x) + 4(x + -9) Reorder the terms: -18 = 18 + 36x + 4(-9 + x) -18 = 18 + 36x + (-9 * 4 + x * 4) -18 = 18 + 36x + (-36 + 4x) Reorder the terms: -18 = 18 + -36 + 36x + 4x Combine like terms: 18 + -36 = -18 -18 = -18 + 36x + 4x Combine like terms: 36x + 4x = 40x -18 = -18 + 40x Add '18' to each side of the equation. -18 + 18 = -18 + 18 + 40x Combine like terms: -18 + 18 = 0 0 = -18 + 18 + 40x Combine like terms: -18 + 18 = 0 0 = 0 + 40x 0 = 40x Solving 0 = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 0 + -40x = 40x + -40x Remove the zero: -40x = 40x + -40x Combine like terms: 40x + -40x = 0 -40x = 0 Divide each side by '-40'. x = 0 Simplifying x = 0
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