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Simplifying 4(2x + -6) + -5 = 2 + -3(2x + 3) Reorder the terms: 4(-6 + 2x) + -5 = 2 + -3(2x + 3) (-6 * 4 + 2x * 4) + -5 = 2 + -3(2x + 3) (-24 + 8x) + -5 = 2 + -3(2x + 3) Reorder the terms: -24 + -5 + 8x = 2 + -3(2x + 3) Combine like terms: -24 + -5 = -29 -29 + 8x = 2 + -3(2x + 3) Reorder the terms: -29 + 8x = 2 + -3(3 + 2x) -29 + 8x = 2 + (3 * -3 + 2x * -3) -29 + 8x = 2 + (-9 + -6x) Combine like terms: 2 + -9 = -7 -29 + 8x = -7 + -6x Solving -29 + 8x = -7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -29 + 8x + 6x = -7 + -6x + 6x Combine like terms: 8x + 6x = 14x -29 + 14x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -29 + 14x = -7 + 0 -29 + 14x = -7 Add '29' to each side of the equation. -29 + 29 + 14x = -7 + 29 Combine like terms: -29 + 29 = 0 0 + 14x = -7 + 29 14x = -7 + 29 Combine like terms: -7 + 29 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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