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Simplifying 4(x + -3) = -2x + 42 Reorder the terms: 4(-3 + x) = -2x + 42 (-3 * 4 + x * 4) = -2x + 42 (-12 + 4x) = -2x + 42 Reorder the terms: -12 + 4x = 42 + -2x Solving -12 + 4x = 42 + -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. -12 + 4x + 2x = 42 + -2x + 2x Combine like terms: 4x + 2x = 6x -12 + 6x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 6x = 42 + 0 -12 + 6x = 42 Add '12' to each side of the equation. -12 + 12 + 6x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 42 + 12 6x = 42 + 12 Combine like terms: 42 + 12 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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