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Simplifying 5x + (42 + -3x) = 8x + -1(32 + -4x) Remove parenthesis around (42 + -3x) 5x + 42 + -3x = 8x + -1(32 + -4x) Reorder the terms: 42 + 5x + -3x = 8x + -1(32 + -4x) Combine like terms: 5x + -3x = 2x 42 + 2x = 8x + -1(32 + -4x) 42 + 2x = 8x + (32 * -1 + -4x * -1) 42 + 2x = 8x + (-32 + 4x) Reorder the terms: 42 + 2x = -32 + 8x + 4x Combine like terms: 8x + 4x = 12x 42 + 2x = -32 + 12x Solving 42 + 2x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 2x + -12x = -32 + 12x + -12x Combine like terms: 2x + -12x = -10x 42 + -10x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -10x = -32 + 0 42 + -10x = -32 Add '-42' to each side of the equation. 42 + -42 + -10x = -32 + -42 Combine like terms: 42 + -42 = 0 0 + -10x = -32 + -42 -10x = -32 + -42 Combine like terms: -32 + -42 = -74 -10x = -74 Divide each side by '-10'. x = 7.4 Simplifying x = 7.4
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