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Simplifying 2 + 3(5x + -5) = 7 + -3(2x + 1) Reorder the terms: 2 + 3(-5 + 5x) = 7 + -3(2x + 1) 2 + (-5 * 3 + 5x * 3) = 7 + -3(2x + 1) 2 + (-15 + 15x) = 7 + -3(2x + 1) Combine like terms: 2 + -15 = -13 -13 + 15x = 7 + -3(2x + 1) Reorder the terms: -13 + 15x = 7 + -3(1 + 2x) -13 + 15x = 7 + (1 * -3 + 2x * -3) -13 + 15x = 7 + (-3 + -6x) Combine like terms: 7 + -3 = 4 -13 + 15x = 4 + -6x Solving -13 + 15x = 4 + -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. -13 + 15x + 6x = 4 + -6x + 6x Combine like terms: 15x + 6x = 21x -13 + 21x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 21x = 4 + 0 -13 + 21x = 4 Add '13' to each side of the equation. -13 + 13 + 21x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 21x = 4 + 13 21x = 4 + 13 Combine like terms: 4 + 13 = 17 21x = 17 Divide each side by '21'. x = 0.8095238095 Simplifying x = 0.8095238095
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