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Simplifying 5[2 + -1(x + 3)] = 1 + 3x Reorder the terms: 5[2 + -1(3 + x)] = 1 + 3x 5[2 + (3 * -1 + x * -1)] = 1 + 3x 5[2 + (-3 + -1x)] = 1 + 3x Combine like terms: 2 + -3 = -1 5[-1 + -1x] = 1 + 3x [-1 * 5 + -1x * 5] = 1 + 3x [-5 + -5x] = 1 + 3x Solving -5 + -5x = 1 + 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. -5 + -5x + -3x = 1 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = 1 + 0 -5 + -8x = 1 Add '5' to each side of the equation. -5 + 5 + -8x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 1 + 5 -8x = 1 + 5 Combine like terms: 1 + 5 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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