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Simplifying 6(4x + -7) = 2x + -5 Reorder the terms: 6(-7 + 4x) = 2x + -5 (-7 * 6 + 4x * 6) = 2x + -5 (-42 + 24x) = 2x + -5 Reorder the terms: -42 + 24x = -5 + 2x Solving -42 + 24x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 24x + -2x = -5 + 2x + -2x Combine like terms: 24x + -2x = 22x -42 + 22x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 22x = -5 + 0 -42 + 22x = -5 Add '42' to each side of the equation. -42 + 42 + 22x = -5 + 42 Combine like terms: -42 + 42 = 0 0 + 22x = -5 + 42 22x = -5 + 42 Combine like terms: -5 + 42 = 37 22x = 37 Divide each side by '22'. x = 1.681818182 Simplifying x = 1.681818182
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