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Simplifying 7(9x + -2) = -8(-6x + -2) Reorder the terms: 7(-2 + 9x) = -8(-6x + -2) (-2 * 7 + 9x * 7) = -8(-6x + -2) (-14 + 63x) = -8(-6x + -2) Reorder the terms: -14 + 63x = -8(-2 + -6x) -14 + 63x = (-2 * -8 + -6x * -8) -14 + 63x = (16 + 48x) Solving -14 + 63x = 16 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -14 + 63x + -48x = 16 + 48x + -48x Combine like terms: 63x + -48x = 15x -14 + 15x = 16 + 48x + -48x Combine like terms: 48x + -48x = 0 -14 + 15x = 16 + 0 -14 + 15x = 16 Add '14' to each side of the equation. -14 + 14 + 15x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 16 + 14 15x = 16 + 14 Combine like terms: 16 + 14 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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