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Simplifying 4(-6x + -7) = 4x + 10 + -2(-1 + x) Reorder the terms: 4(-7 + -6x) = 4x + 10 + -2(-1 + x) (-7 * 4 + -6x * 4) = 4x + 10 + -2(-1 + x) (-28 + -24x) = 4x + 10 + -2(-1 + x) -28 + -24x = 4x + 10 + (-1 * -2 + x * -2) -28 + -24x = 4x + 10 + (2 + -2x) Reorder the terms: -28 + -24x = 10 + 2 + 4x + -2x Combine like terms: 10 + 2 = 12 -28 + -24x = 12 + 4x + -2x Combine like terms: 4x + -2x = 2x -28 + -24x = 12 + 2x Solving -28 + -24x = 12 + 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. -28 + -24x + -2x = 12 + 2x + -2x Combine like terms: -24x + -2x = -26x -28 + -26x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -26x = 12 + 0 -28 + -26x = 12 Add '28' to each side of the equation. -28 + 28 + -26x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -26x = 12 + 28 -26x = 12 + 28 Combine like terms: 12 + 28 = 40 -26x = 40 Divide each side by '-26'. x = -1.538461538 Simplifying x = -1.538461538
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