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Simplifying 5(2x + -6) + 9 = 2(2x + -3) + 4x + -23 Reorder the terms: 5(-6 + 2x) + 9 = 2(2x + -3) + 4x + -23 (-6 * 5 + 2x * 5) + 9 = 2(2x + -3) + 4x + -23 (-30 + 10x) + 9 = 2(2x + -3) + 4x + -23 Reorder the terms: -30 + 9 + 10x = 2(2x + -3) + 4x + -23 Combine like terms: -30 + 9 = -21 -21 + 10x = 2(2x + -3) + 4x + -23 Reorder the terms: -21 + 10x = 2(-3 + 2x) + 4x + -23 -21 + 10x = (-3 * 2 + 2x * 2) + 4x + -23 -21 + 10x = (-6 + 4x) + 4x + -23 Reorder the terms: -21 + 10x = -6 + -23 + 4x + 4x Combine like terms: -6 + -23 = -29 -21 + 10x = -29 + 4x + 4x Combine like terms: 4x + 4x = 8x -21 + 10x = -29 + 8x Solving -21 + 10x = -29 + 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. -21 + 10x + -8x = -29 + 8x + -8x Combine like terms: 10x + -8x = 2x -21 + 2x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 2x = -29 + 0 -21 + 2x = -29 Add '21' to each side of the equation. -21 + 21 + 2x = -29 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -29 + 21 2x = -29 + 21 Combine like terms: -29 + 21 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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