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Simplifying 5(6x + -4) + 7 = 2x + -9 Reorder the terms: 5(-4 + 6x) + 7 = 2x + -9 (-4 * 5 + 6x * 5) + 7 = 2x + -9 (-20 + 30x) + 7 = 2x + -9 Reorder the terms: -20 + 7 + 30x = 2x + -9 Combine like terms: -20 + 7 = -13 -13 + 30x = 2x + -9 Reorder the terms: -13 + 30x = -9 + 2x Solving -13 + 30x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 30x + -2x = -9 + 2x + -2x Combine like terms: 30x + -2x = 28x -13 + 28x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 28x = -9 + 0 -13 + 28x = -9 Add '13' to each side of the equation. -13 + 13 + 28x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 28x = -9 + 13 28x = -9 + 13 Combine like terms: -9 + 13 = 4 28x = 4 Divide each side by '28'. x = 0.1428571429 Simplifying x = 0.1428571429
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