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Simplifying 3x + -5(2x + 3) = 8 + -1x Reorder the terms: 3x + -5(3 + 2x) = 8 + -1x 3x + (3 * -5 + 2x * -5) = 8 + -1x 3x + (-15 + -10x) = 8 + -1x Reorder the terms: -15 + 3x + -10x = 8 + -1x Combine like terms: 3x + -10x = -7x -15 + -7x = 8 + -1x Solving -15 + -7x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -7x + x = 8 + -1x + x Combine like terms: -7x + x = -6x -15 + -6x = 8 + -1x + x Combine like terms: -1x + x = 0 -15 + -6x = 8 + 0 -15 + -6x = 8 Add '15' to each side of the equation. -15 + 15 + -6x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 8 + 15 -6x = 8 + 15 Combine like terms: 8 + 15 = 23 -6x = 23 Divide each side by '-6'. x = -3.833333333 Simplifying x = -3.833333333
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