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Simplifying -16(x + -9) + -6x = -9x + -51 Reorder the terms: -16(-9 + x) + -6x = -9x + -51 (-9 * -16 + x * -16) + -6x = -9x + -51 (144 + -16x) + -6x = -9x + -51 Combine like terms: -16x + -6x = -22x 144 + -22x = -9x + -51 Reorder the terms: 144 + -22x = -51 + -9x Solving 144 + -22x = -51 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 144 + -22x + 9x = -51 + -9x + 9x Combine like terms: -22x + 9x = -13x 144 + -13x = -51 + -9x + 9x Combine like terms: -9x + 9x = 0 144 + -13x = -51 + 0 144 + -13x = -51 Add '-144' to each side of the equation. 144 + -144 + -13x = -51 + -144 Combine like terms: 144 + -144 = 0 0 + -13x = -51 + -144 -13x = -51 + -144 Combine like terms: -51 + -144 = -195 -13x = -195 Divide each side by '-13'. x = 15 Simplifying x = 15
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