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Simplifying 4(x + -9) = 5(2x + 6) Reorder the terms: 4(-9 + x) = 5(2x + 6) (-9 * 4 + x * 4) = 5(2x + 6) (-36 + 4x) = 5(2x + 6) Reorder the terms: -36 + 4x = 5(6 + 2x) -36 + 4x = (6 * 5 + 2x * 5) -36 + 4x = (30 + 10x) Solving -36 + 4x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36 + 4x + -10x = 30 + 10x + -10x Combine like terms: 4x + -10x = -6x -36 + -6x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -36 + -6x = 30 + 0 -36 + -6x = 30 Add '36' to each side of the equation. -36 + 36 + -6x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = 30 + 36 -6x = 30 + 36 Combine like terms: 30 + 36 = 66 -6x = 66 Divide each side by '-6'. x = -11 Simplifying x = -11
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