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Simplifying 3(8x + -4) = 6(5x + -7) Reorder the terms: 3(-4 + 8x) = 6(5x + -7) (-4 * 3 + 8x * 3) = 6(5x + -7) (-12 + 24x) = 6(5x + -7) Reorder the terms: -12 + 24x = 6(-7 + 5x) -12 + 24x = (-7 * 6 + 5x * 6) -12 + 24x = (-42 + 30x) Solving -12 + 24x = -42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 24x + -30x = -42 + 30x + -30x Combine like terms: 24x + -30x = -6x -12 + -6x = -42 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -6x = -42 + 0 -12 + -6x = -42 Add '12' to each side of the equation. -12 + 12 + -6x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -42 + 12 -6x = -42 + 12 Combine like terms: -42 + 12 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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