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Simplifying 3(2x + -1) + -1 = 5(3x + -2) + 3 Reorder the terms: 3(-1 + 2x) + -1 = 5(3x + -2) + 3 (-1 * 3 + 2x * 3) + -1 = 5(3x + -2) + 3 (-3 + 6x) + -1 = 5(3x + -2) + 3 Reorder the terms: -3 + -1 + 6x = 5(3x + -2) + 3 Combine like terms: -3 + -1 = -4 -4 + 6x = 5(3x + -2) + 3 Reorder the terms: -4 + 6x = 5(-2 + 3x) + 3 -4 + 6x = (-2 * 5 + 3x * 5) + 3 -4 + 6x = (-10 + 15x) + 3 Reorder the terms: -4 + 6x = -10 + 3 + 15x Combine like terms: -10 + 3 = -7 -4 + 6x = -7 + 15x Solving -4 + 6x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + 6x + -15x = -7 + 15x + -15x Combine like terms: 6x + -15x = -9x -4 + -9x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -9x = -7 + 0 -4 + -9x = -7 Add '4' to each side of the equation. -4 + 4 + -9x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -7 + 4 -9x = -7 + 4 Combine like terms: -7 + 4 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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