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Simplifying 8x + 30 = x + -4(4x + 4) Reorder the terms: 30 + 8x = x + -4(4x + 4) Reorder the terms: 30 + 8x = x + -4(4 + 4x) 30 + 8x = x + (4 * -4 + 4x * -4) 30 + 8x = x + (-16 + -16x) Reorder the terms: 30 + 8x = -16 + x + -16x Combine like terms: x + -16x = -15x 30 + 8x = -16 + -15x Solving 30 + 8x = -16 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 30 + 8x + 15x = -16 + -15x + 15x Combine like terms: 8x + 15x = 23x 30 + 23x = -16 + -15x + 15x Combine like terms: -15x + 15x = 0 30 + 23x = -16 + 0 30 + 23x = -16 Add '-30' to each side of the equation. 30 + -30 + 23x = -16 + -30 Combine like terms: 30 + -30 = 0 0 + 23x = -16 + -30 23x = -16 + -30 Combine like terms: -16 + -30 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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