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Simplifying 5(4x + -7) + -1 = 3 + -2(4x + 3) Reorder the terms: 5(-7 + 4x) + -1 = 3 + -2(4x + 3) (-7 * 5 + 4x * 5) + -1 = 3 + -2(4x + 3) (-35 + 20x) + -1 = 3 + -2(4x + 3) Reorder the terms: -35 + -1 + 20x = 3 + -2(4x + 3) Combine like terms: -35 + -1 = -36 -36 + 20x = 3 + -2(4x + 3) Reorder the terms: -36 + 20x = 3 + -2(3 + 4x) -36 + 20x = 3 + (3 * -2 + 4x * -2) -36 + 20x = 3 + (-6 + -8x) Combine like terms: 3 + -6 = -3 -36 + 20x = -3 + -8x Solving -36 + 20x = -3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -36 + 20x + 8x = -3 + -8x + 8x Combine like terms: 20x + 8x = 28x -36 + 28x = -3 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 28x = -3 + 0 -36 + 28x = -3 Add '36' to each side of the equation. -36 + 36 + 28x = -3 + 36 Combine like terms: -36 + 36 = 0 0 + 28x = -3 + 36 28x = -3 + 36 Combine like terms: -3 + 36 = 33 28x = 33 Divide each side by '28'. x = 1.178571429 Simplifying x = 1.178571429
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