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