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Simplifying 6(4x + -5) = 2(x + 1) Reorder the terms: 6(-5 + 4x) = 2(x + 1) (-5 * 6 + 4x * 6) = 2(x + 1) (-30 + 24x) = 2(x + 1) Reorder the terms: -30 + 24x = 2(1 + x) -30 + 24x = (1 * 2 + x * 2) -30 + 24x = (2 + 2x) Solving -30 + 24x = 2 + 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. -30 + 24x + -2x = 2 + 2x + -2x Combine like terms: 24x + -2x = 22x -30 + 22x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 22x = 2 + 0 -30 + 22x = 2 Add '30' to each side of the equation. -30 + 30 + 22x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 22x = 2 + 30 22x = 2 + 30 Combine like terms: 2 + 30 = 32 22x = 32 Divide each side by '22'. x = 1.454545455 Simplifying x = 1.454545455
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