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Simplifying 5[x + 3(2 + -1x)] = 3x + 2 5[x + (2 * 3 + -1x * 3)] = 3x + 2 5[x + (6 + -3x)] = 3x + 2 Reorder the terms: 5[6 + x + -3x] = 3x + 2 Combine like terms: x + -3x = -2x 5[6 + -2x] = 3x + 2 [6 * 5 + -2x * 5] = 3x + 2 [30 + -10x] = 3x + 2 Reorder the terms: 30 + -10x = 2 + 3x Solving 30 + -10x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + -10x + -3x = 2 + 3x + -3x Combine like terms: -10x + -3x = -13x 30 + -13x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -13x = 2 + 0 30 + -13x = 2 Add '-30' to each side of the equation. 30 + -30 + -13x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -13x = 2 + -30 -13x = 2 + -30 Combine like terms: 2 + -30 = -28 -13x = -28 Divide each side by '-13'. x = 2.153846154 Simplifying x = 2.153846154
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