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Simplifying 4(x + -12) + 7 + -10x = 5 Reorder the terms: 4(-12 + x) + 7 + -10x = 5 (-12 * 4 + x * 4) + 7 + -10x = 5 (-48 + 4x) + 7 + -10x = 5 Reorder the terms: -48 + 7 + 4x + -10x = 5 Combine like terms: -48 + 7 = -41 -41 + 4x + -10x = 5 Combine like terms: 4x + -10x = -6x -41 + -6x = 5 Solving -41 + -6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -6x = 5 + 41 Combine like terms: -41 + 41 = 0 0 + -6x = 5 + 41 -6x = 5 + 41 Combine like terms: 5 + 41 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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