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Simplifying 5 + -3(2x + -3) = 4 + -2(5x + -3) + 7x Reorder the terms: 5 + -3(-3 + 2x) = 4 + -2(5x + -3) + 7x 5 + (-3 * -3 + 2x * -3) = 4 + -2(5x + -3) + 7x 5 + (9 + -6x) = 4 + -2(5x + -3) + 7x Combine like terms: 5 + 9 = 14 14 + -6x = 4 + -2(5x + -3) + 7x Reorder the terms: 14 + -6x = 4 + -2(-3 + 5x) + 7x 14 + -6x = 4 + (-3 * -2 + 5x * -2) + 7x 14 + -6x = 4 + (6 + -10x) + 7x Combine like terms: 4 + 6 = 10 14 + -6x = 10 + -10x + 7x Combine like terms: -10x + 7x = -3x 14 + -6x = 10 + -3x Solving 14 + -6x = 10 + -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. 14 + -6x + 3x = 10 + -3x + 3x Combine like terms: -6x + 3x = -3x 14 + -3x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + -3x = 10 + 0 14 + -3x = 10 Add '-14' to each side of the equation. 14 + -14 + -3x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 10 + -14 -3x = 10 + -14 Combine like terms: 10 + -14 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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