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Simplifying 4 + -6(2 + -8x) = 3x + 4 + -10(x + 2) 4 + (2 * -6 + -8x * -6) = 3x + 4 + -10(x + 2) 4 + (-12 + 48x) = 3x + 4 + -10(x + 2) Combine like terms: 4 + -12 = -8 -8 + 48x = 3x + 4 + -10(x + 2) Reorder the terms: -8 + 48x = 3x + 4 + -10(2 + x) -8 + 48x = 3x + 4 + (2 * -10 + x * -10) -8 + 48x = 3x + 4 + (-20 + -10x) Reorder the terms: -8 + 48x = 4 + -20 + 3x + -10x Combine like terms: 4 + -20 = -16 -8 + 48x = -16 + 3x + -10x Combine like terms: 3x + -10x = -7x -8 + 48x = -16 + -7x Solving -8 + 48x = -16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + 48x + 7x = -16 + -7x + 7x Combine like terms: 48x + 7x = 55x -8 + 55x = -16 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 55x = -16 + 0 -8 + 55x = -16 Add '8' to each side of the equation. -8 + 8 + 55x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 55x = -16 + 8 55x = -16 + 8 Combine like terms: -16 + 8 = -8 55x = -8 Divide each side by '55'. x = -0.1454545455 Simplifying x = -0.1454545455
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