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Simplifying 4(5x + -12) + -7x = 5x Reorder the terms: 4(-12 + 5x) + -7x = 5x (-12 * 4 + 5x * 4) + -7x = 5x (-48 + 20x) + -7x = 5x Combine like terms: 20x + -7x = 13x -48 + 13x = 5x Solving -48 + 13x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 13x + -5x = 5x + -5x Combine like terms: 13x + -5x = 8x -48 + 8x = 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 8x = 0 Add '48' to each side of the equation. -48 + 48 + 8x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = 0 + 48 8x = 0 + 48 Combine like terms: 0 + 48 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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