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Simplifying 130 = -7(-4x + 5) + 5x Reorder the terms: 130 = -7(5 + -4x) + 5x 130 = (5 * -7 + -4x * -7) + 5x 130 = (-35 + 28x) + 5x Combine like terms: 28x + 5x = 33x 130 = -35 + 33x Solving 130 = -35 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 130 + -33x = -35 + 33x + -33x Combine like terms: 33x + -33x = 0 130 + -33x = -35 + 0 130 + -33x = -35 Add '-130' to each side of the equation. 130 + -130 + -33x = -35 + -130 Combine like terms: 130 + -130 = 0 0 + -33x = -35 + -130 -33x = -35 + -130 Combine like terms: -35 + -130 = -165 -33x = -165 Divide each side by '-33'. x = 5 Simplifying x = 5
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