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Simplifying 4(6x + -7) + 54 = -7(x + -6) + 14x + 35 Reorder the terms: 4(-7 + 6x) + 54 = -7(x + -6) + 14x + 35 (-7 * 4 + 6x * 4) + 54 = -7(x + -6) + 14x + 35 (-28 + 24x) + 54 = -7(x + -6) + 14x + 35 Reorder the terms: -28 + 54 + 24x = -7(x + -6) + 14x + 35 Combine like terms: -28 + 54 = 26 26 + 24x = -7(x + -6) + 14x + 35 Reorder the terms: 26 + 24x = -7(-6 + x) + 14x + 35 26 + 24x = (-6 * -7 + x * -7) + 14x + 35 26 + 24x = (42 + -7x) + 14x + 35 Reorder the terms: 26 + 24x = 42 + 35 + -7x + 14x Combine like terms: 42 + 35 = 77 26 + 24x = 77 + -7x + 14x Combine like terms: -7x + 14x = 7x 26 + 24x = 77 + 7x Solving 26 + 24x = 77 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 26 + 24x + -7x = 77 + 7x + -7x Combine like terms: 24x + -7x = 17x 26 + 17x = 77 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + 17x = 77 + 0 26 + 17x = 77 Add '-26' to each side of the equation. 26 + -26 + 17x = 77 + -26 Combine like terms: 26 + -26 = 0 0 + 17x = 77 + -26 17x = 77 + -26 Combine like terms: 77 + -26 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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