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Simplifying 2 + 4(x + -6) + 5(3x + 4) = -42 Reorder the terms: 2 + 4(-6 + x) + 5(3x + 4) = -42 2 + (-6 * 4 + x * 4) + 5(3x + 4) = -42 2 + (-24 + 4x) + 5(3x + 4) = -42 Reorder the terms: 2 + -24 + 4x + 5(4 + 3x) = -42 2 + -24 + 4x + (4 * 5 + 3x * 5) = -42 2 + -24 + 4x + (20 + 15x) = -42 Reorder the terms: 2 + -24 + 20 + 4x + 15x = -42 Combine like terms: 2 + -24 = -22 -22 + 20 + 4x + 15x = -42 Combine like terms: -22 + 20 = -2 -2 + 4x + 15x = -42 Combine like terms: 4x + 15x = 19x -2 + 19x = -42 Solving -2 + 19x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 19x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 19x = -42 + 2 19x = -42 + 2 Combine like terms: -42 + 2 = -40 19x = -40 Divide each side by '19'. x = -2.105263158 Simplifying x = -2.105263158
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