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Simplifying 4(x + 2) + -6x + 4 = -42 Reorder the terms: 4(2 + x) + -6x + 4 = -42 (2 * 4 + x * 4) + -6x + 4 = -42 (8 + 4x) + -6x + 4 = -42 Reorder the terms: 8 + 4 + 4x + -6x = -42 Combine like terms: 8 + 4 = 12 12 + 4x + -6x = -42 Combine like terms: 4x + -6x = -2x 12 + -2x = -42 Solving 12 + -2x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -42 + -12 -2x = -42 + -12 Combine like terms: -42 + -12 = -54 -2x = -54 Divide each side by '-2'. x = 27 Simplifying x = 27
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