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Simplifying 4(5x + 7) + -6(x + -1) = 10x + 21 Reorder the terms: 4(7 + 5x) + -6(x + -1) = 10x + 21 (7 * 4 + 5x * 4) + -6(x + -1) = 10x + 21 (28 + 20x) + -6(x + -1) = 10x + 21 Reorder the terms: 28 + 20x + -6(-1 + x) = 10x + 21 28 + 20x + (-1 * -6 + x * -6) = 10x + 21 28 + 20x + (6 + -6x) = 10x + 21 Reorder the terms: 28 + 6 + 20x + -6x = 10x + 21 Combine like terms: 28 + 6 = 34 34 + 20x + -6x = 10x + 21 Combine like terms: 20x + -6x = 14x 34 + 14x = 10x + 21 Reorder the terms: 34 + 14x = 21 + 10x Solving 34 + 14x = 21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 14x + -10x = 21 + 10x + -10x Combine like terms: 14x + -10x = 4x 34 + 4x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + 4x = 21 + 0 34 + 4x = 21 Add '-34' to each side of the equation. 34 + -34 + 4x = 21 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = 21 + -34 4x = 21 + -34 Combine like terms: 21 + -34 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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