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Simplifying 7x + -4(3 + -2x) + -1(2x + -5) = 21 7x + (3 * -4 + -2x * -4) + -1(2x + -5) = 21 7x + (-12 + 8x) + -1(2x + -5) = 21 Reorder the terms: 7x + -12 + 8x + -1(-5 + 2x) = 21 7x + -12 + 8x + (-5 * -1 + 2x * -1) = 21 7x + -12 + 8x + (5 + -2x) = 21 Reorder the terms: -12 + 5 + 7x + 8x + -2x = 21 Combine like terms: -12 + 5 = -7 -7 + 7x + 8x + -2x = 21 Combine like terms: 7x + 8x = 15x -7 + 15x + -2x = 21 Combine like terms: 15x + -2x = 13x -7 + 13x = 21 Solving -7 + 13x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 21 + 7 13x = 21 + 7 Combine like terms: 21 + 7 = 28 13x = 28 Divide each side by '13'. x = 2.153846154 Simplifying x = 2.153846154
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