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Simplifying 21x + -4 + -7(5x + -6) = 8x + -4(5x + -7) Reorder the terms: 21x + -4 + -7(-6 + 5x) = 8x + -4(5x + -7) 21x + -4 + (-6 * -7 + 5x * -7) = 8x + -4(5x + -7) 21x + -4 + (42 + -35x) = 8x + -4(5x + -7) Reorder the terms: -4 + 42 + 21x + -35x = 8x + -4(5x + -7) Combine like terms: -4 + 42 = 38 38 + 21x + -35x = 8x + -4(5x + -7) Combine like terms: 21x + -35x = -14x 38 + -14x = 8x + -4(5x + -7) Reorder the terms: 38 + -14x = 8x + -4(-7 + 5x) 38 + -14x = 8x + (-7 * -4 + 5x * -4) 38 + -14x = 8x + (28 + -20x) Reorder the terms: 38 + -14x = 28 + 8x + -20x Combine like terms: 8x + -20x = -12x 38 + -14x = 28 + -12x Solving 38 + -14x = 28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 38 + -14x + 12x = 28 + -12x + 12x Combine like terms: -14x + 12x = -2x 38 + -2x = 28 + -12x + 12x Combine like terms: -12x + 12x = 0 38 + -2x = 28 + 0 38 + -2x = 28 Add '-38' to each side of the equation. 38 + -38 + -2x = 28 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 28 + -38 -2x = 28 + -38 Combine like terms: 28 + -38 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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