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Simplifying 5x + -4 = 9 + 6(x + -4) Reorder the terms: -4 + 5x = 9 + 6(x + -4) Reorder the terms: -4 + 5x = 9 + 6(-4 + x) -4 + 5x = 9 + (-4 * 6 + x * 6) -4 + 5x = 9 + (-24 + 6x) Combine like terms: 9 + -24 = -15 -4 + 5x = -15 + 6x Solving -4 + 5x = -15 + 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. -4 + 5x + -6x = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = -15 + 0 -4 + -1x = -15 Add '4' to each side of the equation. -4 + 4 + -1x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -15 + 4 -1x = -15 + 4 Combine like terms: -15 + 4 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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