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Simplifying 3 + 2(7x + -9) = 4(-2x + -3) + -15 Reorder the terms: 3 + 2(-9 + 7x) = 4(-2x + -3) + -15 3 + (-9 * 2 + 7x * 2) = 4(-2x + -3) + -15 3 + (-18 + 14x) = 4(-2x + -3) + -15 Combine like terms: 3 + -18 = -15 -15 + 14x = 4(-2x + -3) + -15 Reorder the terms: -15 + 14x = 4(-3 + -2x) + -15 -15 + 14x = (-3 * 4 + -2x * 4) + -15 -15 + 14x = (-12 + -8x) + -15 Reorder the terms: -15 + 14x = -12 + -15 + -8x Combine like terms: -12 + -15 = -27 -15 + 14x = -27 + -8x Solving -15 + 14x = -27 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 14x + 8x = -27 + -8x + 8x Combine like terms: 14x + 8x = 22x -15 + 22x = -27 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 22x = -27 + 0 -15 + 22x = -27 Add '15' to each side of the equation. -15 + 15 + 22x = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = -27 + 15 22x = -27 + 15 Combine like terms: -27 + 15 = -12 22x = -12 Divide each side by '22'. x = -0.5454545455 Simplifying x = -0.5454545455
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