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Simplifying 6(x + -5) + -15 = 2x + -9 Reorder the terms: 6(-5 + x) + -15 = 2x + -9 (-5 * 6 + x * 6) + -15 = 2x + -9 (-30 + 6x) + -15 = 2x + -9 Reorder the terms: -30 + -15 + 6x = 2x + -9 Combine like terms: -30 + -15 = -45 -45 + 6x = 2x + -9 Reorder the terms: -45 + 6x = -9 + 2x Solving -45 + 6x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + 6x + -2x = -9 + 2x + -2x Combine like terms: 6x + -2x = 4x -45 + 4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 4x = -9 + 0 -45 + 4x = -9 Add '45' to each side of the equation. -45 + 45 + 4x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -9 + 45 4x = -9 + 45 Combine like terms: -9 + 45 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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