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Simplifying 5(2x + -6) + 9 = 2(2 + -3) + 4x + -23 Reorder the terms: 5(-6 + 2x) + 9 = 2(2 + -3) + 4x + -23 (-6 * 5 + 2x * 5) + 9 = 2(2 + -3) + 4x + -23 (-30 + 10x) + 9 = 2(2 + -3) + 4x + -23 Reorder the terms: -30 + 9 + 10x = 2(2 + -3) + 4x + -23 Combine like terms: -30 + 9 = -21 -21 + 10x = 2(2 + -3) + 4x + -23 Combine like terms: 2 + -3 = -1 -21 + 10x = 2(-1) + 4x + -23 Multiply 2 * -1 -21 + 10x = -2 + 4x + -23 Reorder the terms: -21 + 10x = -2 + -23 + 4x Combine like terms: -2 + -23 = -25 -21 + 10x = -25 + 4x Solving -21 + 10x = -25 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 10x + -4x = -25 + 4x + -4x Combine like terms: 10x + -4x = 6x -21 + 6x = -25 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 6x = -25 + 0 -21 + 6x = -25 Add '21' to each side of the equation. -21 + 21 + 6x = -25 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = -25 + 21 6x = -25 + 21 Combine like terms: -25 + 21 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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