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Simplifying 4(x + -6) + 10 = 2 + -3.5(1x + -0.5) Reorder the terms: 4(-6 + x) + 10 = 2 + -3.5(1x + -0.5) (-6 * 4 + x * 4) + 10 = 2 + -3.5(1x + -0.5) (-24 + 4x) + 10 = 2 + -3.5(1x + -0.5) Reorder the terms: -24 + 10 + 4x = 2 + -3.5(1x + -0.5) Combine like terms: -24 + 10 = -14 -14 + 4x = 2 + -3.5(1x + -0.5) Reorder the terms: -14 + 4x = 2 + -3.5(-0.5 + 1x) -14 + 4x = 2 + (-0.5 * -3.5 + 1x * -3.5) -14 + 4x = 2 + (1.75 + -3.5x) Combine like terms: 2 + 1.75 = 3.75 -14 + 4x = 3.75 + -3.5x Solving -14 + 4x = 3.75 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. -14 + 4x + 3.5x = 3.75 + -3.5x + 3.5x Combine like terms: 4x + 3.5x = 7.5x -14 + 7.5x = 3.75 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -14 + 7.5x = 3.75 + 0.0 -14 + 7.5x = 3.75 Add '14' to each side of the equation. -14 + 14 + 7.5x = 3.75 + 14 Combine like terms: -14 + 14 = 0 0 + 7.5x = 3.75 + 14 7.5x = 3.75 + 14 Combine like terms: 3.75 + 14 = 17.75 7.5x = 17.75 Divide each side by '7.5'. x = 2.366666667 Simplifying x = 2.366666667
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