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Simplifying 2(1 + -3x) + -5(2x + 3) = 21 (1 * 2 + -3x * 2) + -5(2x + 3) = 21 (2 + -6x) + -5(2x + 3) = 21 Reorder the terms: 2 + -6x + -5(3 + 2x) = 21 2 + -6x + (3 * -5 + 2x * -5) = 21 2 + -6x + (-15 + -10x) = 21 Reorder the terms: 2 + -15 + -6x + -10x = 21 Combine like terms: 2 + -15 = -13 -13 + -6x + -10x = 21 Combine like terms: -6x + -10x = -16x -13 + -16x = 21 Solving -13 + -16x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -16x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + -16x = 21 + 13 -16x = 21 + 13 Combine like terms: 21 + 13 = 34 -16x = 34 Divide each side by '-16'. x = -2.125 Simplifying x = -2.125
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