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Simplifying -7(12x + 6) = -10(8x + 13) Reorder the terms: -7(6 + 12x) = -10(8x + 13) (6 * -7 + 12x * -7) = -10(8x + 13) (-42 + -84x) = -10(8x + 13) Reorder the terms: -42 + -84x = -10(13 + 8x) -42 + -84x = (13 * -10 + 8x * -10) -42 + -84x = (-130 + -80x) Solving -42 + -84x = -130 + -80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80x' to each side of the equation. -42 + -84x + 80x = -130 + -80x + 80x Combine like terms: -84x + 80x = -4x -42 + -4x = -130 + -80x + 80x Combine like terms: -80x + 80x = 0 -42 + -4x = -130 + 0 -42 + -4x = -130 Add '42' to each side of the equation. -42 + 42 + -4x = -130 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = -130 + 42 -4x = -130 + 42 Combine like terms: -130 + 42 = -88 -4x = -88 Divide each side by '-4'. x = 22 Simplifying x = 22
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