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Simplifying 5(3x + -1) + -2 = 3 + -2(3x + 1) Reorder the terms: 5(-1 + 3x) + -2 = 3 + -2(3x + 1) (-1 * 5 + 3x * 5) + -2 = 3 + -2(3x + 1) (-5 + 15x) + -2 = 3 + -2(3x + 1) Reorder the terms: -5 + -2 + 15x = 3 + -2(3x + 1) Combine like terms: -5 + -2 = -7 -7 + 15x = 3 + -2(3x + 1) Reorder the terms: -7 + 15x = 3 + -2(1 + 3x) -7 + 15x = 3 + (1 * -2 + 3x * -2) -7 + 15x = 3 + (-2 + -6x) Combine like terms: 3 + -2 = 1 -7 + 15x = 1 + -6x Solving -7 + 15x = 1 + -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. -7 + 15x + 6x = 1 + -6x + 6x Combine like terms: 15x + 6x = 21x -7 + 21x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 21x = 1 + 0 -7 + 21x = 1 Add '7' to each side of the equation. -7 + 7 + 21x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 21x = 1 + 7 21x = 1 + 7 Combine like terms: 1 + 7 = 8 21x = 8 Divide each side by '21'. x = 0.380952381 Simplifying x = 0.380952381
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