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Simplifying 4x + -3(3x + -6) = 3(x + 4) + -9 Reorder the terms: 4x + -3(-6 + 3x) = 3(x + 4) + -9 4x + (-6 * -3 + 3x * -3) = 3(x + 4) + -9 4x + (18 + -9x) = 3(x + 4) + -9 Reorder the terms: 18 + 4x + -9x = 3(x + 4) + -9 Combine like terms: 4x + -9x = -5x 18 + -5x = 3(x + 4) + -9 Reorder the terms: 18 + -5x = 3(4 + x) + -9 18 + -5x = (4 * 3 + x * 3) + -9 18 + -5x = (12 + 3x) + -9 Reorder the terms: 18 + -5x = 12 + -9 + 3x Combine like terms: 12 + -9 = 3 18 + -5x = 3 + 3x Solving 18 + -5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -5x + -3x = 3 + 3x + -3x Combine like terms: -5x + -3x = -8x 18 + -8x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -8x = 3 + 0 18 + -8x = 3 Add '-18' to each side of the equation. 18 + -18 + -8x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 3 + -18 -8x = 3 + -18 Combine like terms: 3 + -18 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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