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Simplifying 2x + -3 + 6x = 4(3x + -2) + 3 Reorder the terms: -3 + 2x + 6x = 4(3x + -2) + 3 Combine like terms: 2x + 6x = 8x -3 + 8x = 4(3x + -2) + 3 Reorder the terms: -3 + 8x = 4(-2 + 3x) + 3 -3 + 8x = (-2 * 4 + 3x * 4) + 3 -3 + 8x = (-8 + 12x) + 3 Reorder the terms: -3 + 8x = -8 + 3 + 12x Combine like terms: -8 + 3 = -5 -3 + 8x = -5 + 12x Solving -3 + 8x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 8x + -12x = -5 + 12x + -12x Combine like terms: 8x + -12x = -4x -3 + -4x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -4x = -5 + 0 -3 + -4x = -5 Add '3' to each side of the equation. -3 + 3 + -4x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -5 + 3 -4x = -5 + 3 Combine like terms: -5 + 3 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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