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Simplifying -3(2x + -3) = 4(3x + -2) + 1 Reorder the terms: -3(-3 + 2x) = 4(3x + -2) + 1 (-3 * -3 + 2x * -3) = 4(3x + -2) + 1 (9 + -6x) = 4(3x + -2) + 1 Reorder the terms: 9 + -6x = 4(-2 + 3x) + 1 9 + -6x = (-2 * 4 + 3x * 4) + 1 9 + -6x = (-8 + 12x) + 1 Reorder the terms: 9 + -6x = -8 + 1 + 12x Combine like terms: -8 + 1 = -7 9 + -6x = -7 + 12x Solving 9 + -6x = -7 + 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. 9 + -6x + -12x = -7 + 12x + -12x Combine like terms: -6x + -12x = -18x 9 + -18x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -18x = -7 + 0 9 + -18x = -7 Add '-9' to each side of the equation. 9 + -9 + -18x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = -7 + -9 -18x = -7 + -9 Combine like terms: -7 + -9 = -16 -18x = -16 Divide each side by '-18'. x = 0.8888888889 Simplifying x = 0.8888888889
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