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Simplifying 4[2x + -1(x + 9)] = 6(x + -5) Reorder the terms: 4[2x + -1(9 + x)] = 6(x + -5) 4[2x + (9 * -1 + x * -1)] = 6(x + -5) 4[2x + (-9 + -1x)] = 6(x + -5) Reorder the terms: 4[-9 + 2x + -1x] = 6(x + -5) Combine like terms: 2x + -1x = 1x 4[-9 + 1x] = 6(x + -5) [-9 * 4 + 1x * 4] = 6(x + -5) [-36 + 4x] = 6(x + -5) Reorder the terms: -36 + 4x = 6(-5 + x) -36 + 4x = (-5 * 6 + x * 6) -36 + 4x = (-30 + 6x) Solving -36 + 4x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 4x + -6x = -30 + 6x + -6x Combine like terms: 4x + -6x = -2x -36 + -2x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + -2x = -30 + 0 -36 + -2x = -30 Add '36' to each side of the equation. -36 + 36 + -2x = -30 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -30 + 36 -2x = -30 + 36 Combine like terms: -30 + 36 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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