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Simplifying 78 = -2x + -2(x + -19) Reorder the terms: 78 = -2x + -2(-19 + x) 78 = -2x + (-19 * -2 + x * -2) 78 = -2x + (38 + -2x) Reorder the terms: 78 = 38 + -2x + -2x Combine like terms: -2x + -2x = -4x 78 = 38 + -4x Solving 78 = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 78 + 4x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 78 + 4x = 38 + 0 78 + 4x = 38 Add '-78' to each side of the equation. 78 + -78 + 4x = 38 + -78 Combine like terms: 78 + -78 = 0 0 + 4x = 38 + -78 4x = 38 + -78 Combine like terms: 38 + -78 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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