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Simplifying 7 + 3(5x + -5) = 9 + -3(2x + 1) Reorder the terms: 7 + 3(-5 + 5x) = 9 + -3(2x + 1) 7 + (-5 * 3 + 5x * 3) = 9 + -3(2x + 1) 7 + (-15 + 15x) = 9 + -3(2x + 1) Combine like terms: 7 + -15 = -8 -8 + 15x = 9 + -3(2x + 1) Reorder the terms: -8 + 15x = 9 + -3(1 + 2x) -8 + 15x = 9 + (1 * -3 + 2x * -3) -8 + 15x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -8 + 15x = 6 + -6x Solving -8 + 15x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 15x + 6x = 6 + -6x + 6x Combine like terms: 15x + 6x = 21x -8 + 21x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 21x = 6 + 0 -8 + 21x = 6 Add '8' to each side of the equation. -8 + 8 + 21x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = 6 + 8 21x = 6 + 8 Combine like terms: 6 + 8 = 14 21x = 14 Divide each side by '21'. x = 0.6666666667 Simplifying x = 0.6666666667
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