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Simplifying 19 = -5 + 6(x + -8) Reorder the terms: 19 = -5 + 6(-8 + x) 19 = -5 + (-8 * 6 + x * 6) 19 = -5 + (-48 + 6x) Combine like terms: -5 + -48 = -53 19 = -53 + 6x Solving 19 = -53 + 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. 19 + -6x = -53 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + -6x = -53 + 0 19 + -6x = -53 Add '-19' to each side of the equation. 19 + -19 + -6x = -53 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = -53 + -19 -6x = -53 + -19 Combine like terms: -53 + -19 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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