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Simplifying 7 + -3(3x + -5) + 2x = 4(x + -3) + 7x + -9 Reorder the terms: 7 + -3(-5 + 3x) + 2x = 4(x + -3) + 7x + -9 7 + (-5 * -3 + 3x * -3) + 2x = 4(x + -3) + 7x + -9 7 + (15 + -9x) + 2x = 4(x + -3) + 7x + -9 Combine like terms: 7 + 15 = 22 22 + -9x + 2x = 4(x + -3) + 7x + -9 Combine like terms: -9x + 2x = -7x 22 + -7x = 4(x + -3) + 7x + -9 Reorder the terms: 22 + -7x = 4(-3 + x) + 7x + -9 22 + -7x = (-3 * 4 + x * 4) + 7x + -9 22 + -7x = (-12 + 4x) + 7x + -9 Reorder the terms: 22 + -7x = -12 + -9 + 4x + 7x Combine like terms: -12 + -9 = -21 22 + -7x = -21 + 4x + 7x Combine like terms: 4x + 7x = 11x 22 + -7x = -21 + 11x Solving 22 + -7x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 22 + -7x + -11x = -21 + 11x + -11x Combine like terms: -7x + -11x = -18x 22 + -18x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + -18x = -21 + 0 22 + -18x = -21 Add '-22' to each side of the equation. 22 + -22 + -18x = -21 + -22 Combine like terms: 22 + -22 = 0 0 + -18x = -21 + -22 -18x = -21 + -22 Combine like terms: -21 + -22 = -43 -18x = -43 Divide each side by '-18'. x = 2.388888889 Simplifying x = 2.388888889
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