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Simplifying 4 + -5(2x + 6) = 9x + (-7) Reorder the terms: 4 + -5(6 + 2x) = 9x + (-7) 4 + (6 * -5 + 2x * -5) = 9x + (-7) 4 + (-30 + -10x) = 9x + (-7) Combine like terms: 4 + -30 = -26 -26 + -10x = 9x + (-7) -26 + -10x = 9x + -7 Reorder the terms: -26 + -10x = -7 + 9x Solving -26 + -10x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -26 + -10x + -9x = -7 + 9x + -9x Combine like terms: -10x + -9x = -19x -26 + -19x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 -26 + -19x = -7 + 0 -26 + -19x = -7 Add '26' to each side of the equation. -26 + 26 + -19x = -7 + 26 Combine like terms: -26 + 26 = 0 0 + -19x = -7 + 26 -19x = -7 + 26 Combine like terms: -7 + 26 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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