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Simplifying 30 + -7x = -4(-6x + 8) Reorder the terms: 30 + -7x = -4(8 + -6x) 30 + -7x = (8 * -4 + -6x * -4) 30 + -7x = (-32 + 24x) Solving 30 + -7x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 30 + -7x + -24x = -32 + 24x + -24x Combine like terms: -7x + -24x = -31x 30 + -31x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 30 + -31x = -32 + 0 30 + -31x = -32 Add '-30' to each side of the equation. 30 + -30 + -31x = -32 + -30 Combine like terms: 30 + -30 = 0 0 + -31x = -32 + -30 -31x = -32 + -30 Combine like terms: -32 + -30 = -62 -31x = -62 Divide each side by '-31'. x = 2 Simplifying x = 2
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