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Simplifying 3x + 1 + -1(x + 8) = 10x + -4 Reorder the terms: 3x + 1 + -1(8 + x) = 10x + -4 3x + 1 + (8 * -1 + x * -1) = 10x + -4 3x + 1 + (-8 + -1x) = 10x + -4 Reorder the terms: 1 + -8 + 3x + -1x = 10x + -4 Combine like terms: 1 + -8 = -7 -7 + 3x + -1x = 10x + -4 Combine like terms: 3x + -1x = 2x -7 + 2x = 10x + -4 Reorder the terms: -7 + 2x = -4 + 10x Solving -7 + 2x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 2x + -10x = -4 + 10x + -10x Combine like terms: 2x + -10x = -8x -7 + -8x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -8x = -4 + 0 -7 + -8x = -4 Add '7' to each side of the equation. -7 + 7 + -8x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -4 + 7 -8x = -4 + 7 Combine like terms: -4 + 7 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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