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Simplifying 5(4 + -7) + -6x = 8(1x + -3) + 9 Combine like terms: 4 + -7 = -3 5(-3) + -6x = 8(1x + -3) + 9 Multiply 5 * -3 -15 + -6x = 8(1x + -3) + 9 Reorder the terms: -15 + -6x = 8(-3 + 1x) + 9 -15 + -6x = (-3 * 8 + 1x * 8) + 9 -15 + -6x = (-24 + 8x) + 9 Reorder the terms: -15 + -6x = -24 + 9 + 8x Combine like terms: -24 + 9 = -15 -15 + -6x = -15 + 8x Add '15' to each side of the equation. -15 + 15 + -6x = -15 + 15 + 8x Combine like terms: -15 + 15 = 0 0 + -6x = -15 + 15 + 8x -6x = -15 + 15 + 8x Combine like terms: -15 + 15 = 0 -6x = 0 + 8x -6x = 8x Solving -6x = 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. -6x + -8x = 8x + -8x Combine like terms: -6x + -8x = -14x -14x = 8x + -8x Combine like terms: 8x + -8x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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