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Simplifying -7(1 + -2x) + -4x = 4(6x + -9) + 1 (1 * -7 + -2x * -7) + -4x = 4(6x + -9) + 1 (-7 + 14x) + -4x = 4(6x + -9) + 1 Combine like terms: 14x + -4x = 10x -7 + 10x = 4(6x + -9) + 1 Reorder the terms: -7 + 10x = 4(-9 + 6x) + 1 -7 + 10x = (-9 * 4 + 6x * 4) + 1 -7 + 10x = (-36 + 24x) + 1 Reorder the terms: -7 + 10x = -36 + 1 + 24x Combine like terms: -36 + 1 = -35 -7 + 10x = -35 + 24x Solving -7 + 10x = -35 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -7 + 10x + -24x = -35 + 24x + -24x Combine like terms: 10x + -24x = -14x -7 + -14x = -35 + 24x + -24x Combine like terms: 24x + -24x = 0 -7 + -14x = -35 + 0 -7 + -14x = -35 Add '7' to each side of the equation. -7 + 7 + -14x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -14x = -35 + 7 -14x = -35 + 7 Combine like terms: -35 + 7 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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