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Simplifying 4(6x + -2) + -10x + 8 = 4x + 6(6x + -2) Reorder the terms: 4(-2 + 6x) + -10x + 8 = 4x + 6(6x + -2) (-2 * 4 + 6x * 4) + -10x + 8 = 4x + 6(6x + -2) (-8 + 24x) + -10x + 8 = 4x + 6(6x + -2) Reorder the terms: -8 + 8 + 24x + -10x = 4x + 6(6x + -2) Combine like terms: -8 + 8 = 0 0 + 24x + -10x = 4x + 6(6x + -2) 24x + -10x = 4x + 6(6x + -2) Combine like terms: 24x + -10x = 14x 14x = 4x + 6(6x + -2) Reorder the terms: 14x = 4x + 6(-2 + 6x) 14x = 4x + (-2 * 6 + 6x * 6) 14x = 4x + (-12 + 36x) Reorder the terms: 14x = -12 + 4x + 36x Combine like terms: 4x + 36x = 40x 14x = -12 + 40x Solving 14x = -12 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 14x + -40x = -12 + 40x + -40x Combine like terms: 14x + -40x = -26x -26x = -12 + 40x + -40x Combine like terms: 40x + -40x = 0 -26x = -12 + 0 -26x = -12 Divide each side by '-26'. x = 0.4615384615 Simplifying x = 0.4615384615
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