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Simplifying 2x + -5(2x + 3) = 4 + -2(x + 3) Reorder the terms: 2x + -5(3 + 2x) = 4 + -2(x + 3) 2x + (3 * -5 + 2x * -5) = 4 + -2(x + 3) 2x + (-15 + -10x) = 4 + -2(x + 3) Reorder the terms: -15 + 2x + -10x = 4 + -2(x + 3) Combine like terms: 2x + -10x = -8x -15 + -8x = 4 + -2(x + 3) Reorder the terms: -15 + -8x = 4 + -2(3 + x) -15 + -8x = 4 + (3 * -2 + x * -2) -15 + -8x = 4 + (-6 + -2x) Combine like terms: 4 + -6 = -2 -15 + -8x = -2 + -2x Solving -15 + -8x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + -8x + 2x = -2 + -2x + 2x Combine like terms: -8x + 2x = -6x -15 + -6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + -6x = -2 + 0 -15 + -6x = -2 Add '15' to each side of the equation. -15 + 15 + -6x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -2 + 15 -6x = -2 + 15 Combine like terms: -2 + 15 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667
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