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Simplifying 7(9x + -4) = 2x + -5(x + -4) Reorder the terms: 7(-4 + 9x) = 2x + -5(x + -4) (-4 * 7 + 9x * 7) = 2x + -5(x + -4) (-28 + 63x) = 2x + -5(x + -4) Reorder the terms: -28 + 63x = 2x + -5(-4 + x) -28 + 63x = 2x + (-4 * -5 + x * -5) -28 + 63x = 2x + (20 + -5x) Reorder the terms: -28 + 63x = 20 + 2x + -5x Combine like terms: 2x + -5x = -3x -28 + 63x = 20 + -3x Solving -28 + 63x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 63x + 3x = 20 + -3x + 3x Combine like terms: 63x + 3x = 66x -28 + 66x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 66x = 20 + 0 -28 + 66x = 20 Add '28' to each side of the equation. -28 + 28 + 66x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 66x = 20 + 28 66x = 20 + 28 Combine like terms: 20 + 28 = 48 66x = 48 Divide each side by '66'. x = 0.7272727273 Simplifying x = 0.7272727273
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