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Simplifying 130 = 3x + 4(6x + -8) Reorder the terms: 130 = 3x + 4(-8 + 6x) 130 = 3x + (-8 * 4 + 6x * 4) 130 = 3x + (-32 + 24x) Reorder the terms: 130 = -32 + 3x + 24x Combine like terms: 3x + 24x = 27x 130 = -32 + 27x Solving 130 = -32 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 130 + -27x = -32 + 27x + -27x Combine like terms: 27x + -27x = 0 130 + -27x = -32 + 0 130 + -27x = -32 Add '-130' to each side of the equation. 130 + -130 + -27x = -32 + -130 Combine like terms: 130 + -130 = 0 0 + -27x = -32 + -130 -27x = -32 + -130 Combine like terms: -32 + -130 = -162 -27x = -162 Divide each side by '-27'. x = 6 Simplifying x = 6
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