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Simplifying 2(x + -12) = -41 + 4(4x + -1) Reorder the terms: 2(-12 + x) = -41 + 4(4x + -1) (-12 * 2 + x * 2) = -41 + 4(4x + -1) (-24 + 2x) = -41 + 4(4x + -1) Reorder the terms: -24 + 2x = -41 + 4(-1 + 4x) -24 + 2x = -41 + (-1 * 4 + 4x * 4) -24 + 2x = -41 + (-4 + 16x) Combine like terms: -41 + -4 = -45 -24 + 2x = -45 + 16x Solving -24 + 2x = -45 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 2x + -16x = -45 + 16x + -16x Combine like terms: 2x + -16x = -14x -24 + -14x = -45 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + -14x = -45 + 0 -24 + -14x = -45 Add '24' to each side of the equation. -24 + 24 + -14x = -45 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = -45 + 24 -14x = -45 + 24 Combine like terms: -45 + 24 = -21 -14x = -21 Divide each side by '-14'. x = 1.5 Simplifying x = 1.5
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