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Simplifying 7 + -3(2x + -5) = 5(3x + 4) + 2x Reorder the terms: 7 + -3(-5 + 2x) = 5(3x + 4) + 2x 7 + (-5 * -3 + 2x * -3) = 5(3x + 4) + 2x 7 + (15 + -6x) = 5(3x + 4) + 2x Combine like terms: 7 + 15 = 22 22 + -6x = 5(3x + 4) + 2x Reorder the terms: 22 + -6x = 5(4 + 3x) + 2x 22 + -6x = (4 * 5 + 3x * 5) + 2x 22 + -6x = (20 + 15x) + 2x Combine like terms: 15x + 2x = 17x 22 + -6x = 20 + 17x Solving 22 + -6x = 20 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 22 + -6x + -17x = 20 + 17x + -17x Combine like terms: -6x + -17x = -23x 22 + -23x = 20 + 17x + -17x Combine like terms: 17x + -17x = 0 22 + -23x = 20 + 0 22 + -23x = 20 Add '-22' to each side of the equation. 22 + -22 + -23x = 20 + -22 Combine like terms: 22 + -22 = 0 0 + -23x = 20 + -22 -23x = 20 + -22 Combine like terms: 20 + -22 = -2 -23x = -2 Divide each side by '-23'. x = 0.08695652174 Simplifying x = 0.08695652174
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