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Simplifying 6x + 8(x + -6) = -16 + 6x Reorder the terms: 6x + 8(-6 + x) = -16 + 6x 6x + (-6 * 8 + x * 8) = -16 + 6x 6x + (-48 + 8x) = -16 + 6x Reorder the terms: -48 + 6x + 8x = -16 + 6x Combine like terms: 6x + 8x = 14x -48 + 14x = -16 + 6x Solving -48 + 14x = -16 + 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. -48 + 14x + -6x = -16 + 6x + -6x Combine like terms: 14x + -6x = 8x -48 + 8x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 8x = -16 + 0 -48 + 8x = -16 Add '48' to each side of the equation. -48 + 48 + 8x = -16 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = -16 + 48 8x = -16 + 48 Combine like terms: -16 + 48 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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