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Simplifying -8(-4 + -3x) = -19 + 7x (-4 * -8 + -3x * -8) = -19 + 7x (32 + 24x) = -19 + 7x Solving 32 + 24x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + 24x + -7x = -19 + 7x + -7x Combine like terms: 24x + -7x = 17x 32 + 17x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + 17x = -19 + 0 32 + 17x = -19 Add '-32' to each side of the equation. 32 + -32 + 17x = -19 + -32 Combine like terms: 32 + -32 = 0 0 + 17x = -19 + -32 17x = -19 + -32 Combine like terms: -19 + -32 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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