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Simplifying 4x + -1(42 + 3x) = 2(x + -4) 4x + (42 * -1 + 3x * -1) = 2(x + -4) 4x + (-42 + -3x) = 2(x + -4) Reorder the terms: -42 + 4x + -3x = 2(x + -4) Combine like terms: 4x + -3x = 1x -42 + 1x = 2(x + -4) Reorder the terms: -42 + 1x = 2(-4 + x) -42 + 1x = (-4 * 2 + x * 2) -42 + 1x = (-8 + 2x) Solving -42 + 1x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 1x + -2x = -8 + 2x + -2x Combine like terms: 1x + -2x = -1x -42 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + -1x = -8 + 0 -42 + -1x = -8 Add '42' to each side of the equation. -42 + 42 + -1x = -8 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -8 + 42 -1x = -8 + 42 Combine like terms: -8 + 42 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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