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Simplifying 8 + -3(2x + 4) = 3x + 4(x + -2) Reorder the terms: 8 + -3(4 + 2x) = 3x + 4(x + -2) 8 + (4 * -3 + 2x * -3) = 3x + 4(x + -2) 8 + (-12 + -6x) = 3x + 4(x + -2) Combine like terms: 8 + -12 = -4 -4 + -6x = 3x + 4(x + -2) Reorder the terms: -4 + -6x = 3x + 4(-2 + x) -4 + -6x = 3x + (-2 * 4 + x * 4) -4 + -6x = 3x + (-8 + 4x) Reorder the terms: -4 + -6x = -8 + 3x + 4x Combine like terms: 3x + 4x = 7x -4 + -6x = -8 + 7x Solving -4 + -6x = -8 + 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. -4 + -6x + -7x = -8 + 7x + -7x Combine like terms: -6x + -7x = -13x -4 + -13x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -13x = -8 + 0 -4 + -13x = -8 Add '4' to each side of the equation. -4 + 4 + -13x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -13x = -8 + 4 -13x = -8 + 4 Combine like terms: -8 + 4 = -4 -13x = -4 Divide each side by '-13'. x = 0.3076923077 Simplifying x = 0.3076923077
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