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Simplifying 2x + -6 + 10x = 5(4x + -3) + 5 Reorder the terms: -6 + 2x + 10x = 5(4x + -3) + 5 Combine like terms: 2x + 10x = 12x -6 + 12x = 5(4x + -3) + 5 Reorder the terms: -6 + 12x = 5(-3 + 4x) + 5 -6 + 12x = (-3 * 5 + 4x * 5) + 5 -6 + 12x = (-15 + 20x) + 5 Reorder the terms: -6 + 12x = -15 + 5 + 20x Combine like terms: -15 + 5 = -10 -6 + 12x = -10 + 20x Solving -6 + 12x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 12x + -20x = -10 + 20x + -20x Combine like terms: 12x + -20x = -8x -6 + -8x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -8x = -10 + 0 -6 + -8x = -10 Add '6' to each side of the equation. -6 + 6 + -8x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -10 + 6 -8x = -10 + 6 Combine like terms: -10 + 6 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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