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Simplifying 4(2x + -3) = 2(x + 9) Reorder the terms: 4(-3 + 2x) = 2(x + 9) (-3 * 4 + 2x * 4) = 2(x + 9) (-12 + 8x) = 2(x + 9) Reorder the terms: -12 + 8x = 2(9 + x) -12 + 8x = (9 * 2 + x * 2) -12 + 8x = (18 + 2x) Solving -12 + 8x = 18 + 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. -12 + 8x + -2x = 18 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = 18 + 0 -12 + 6x = 18 Add '12' to each side of the equation. -12 + 12 + 6x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 18 + 12 6x = 18 + 12 Combine like terms: 18 + 12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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