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Simplifying -3(6x + -2) + 8x = 4 + 2(3x + -5) Reorder the terms: -3(-2 + 6x) + 8x = 4 + 2(3x + -5) (-2 * -3 + 6x * -3) + 8x = 4 + 2(3x + -5) (6 + -18x) + 8x = 4 + 2(3x + -5) Combine like terms: -18x + 8x = -10x 6 + -10x = 4 + 2(3x + -5) Reorder the terms: 6 + -10x = 4 + 2(-5 + 3x) 6 + -10x = 4 + (-5 * 2 + 3x * 2) 6 + -10x = 4 + (-10 + 6x) Combine like terms: 4 + -10 = -6 6 + -10x = -6 + 6x Solving 6 + -10x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -10x + -6x = -6 + 6x + -6x Combine like terms: -10x + -6x = -16x 6 + -16x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -16x = -6 + 0 6 + -16x = -6 Add '-6' to each side of the equation. 6 + -6 + -16x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = -6 + -6 -16x = -6 + -6 Combine like terms: -6 + -6 = -12 -16x = -12 Divide each side by '-16'. x = 0.75 Simplifying x = 0.75
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