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Simplifying 2x + 3(4x + -10) + -6 = 4(3x + -2) + 3 Reorder the terms: 2x + 3(-10 + 4x) + -6 = 4(3x + -2) + 3 2x + (-10 * 3 + 4x * 3) + -6 = 4(3x + -2) + 3 2x + (-30 + 12x) + -6 = 4(3x + -2) + 3 Reorder the terms: -30 + -6 + 2x + 12x = 4(3x + -2) + 3 Combine like terms: -30 + -6 = -36 -36 + 2x + 12x = 4(3x + -2) + 3 Combine like terms: 2x + 12x = 14x -36 + 14x = 4(3x + -2) + 3 Reorder the terms: -36 + 14x = 4(-2 + 3x) + 3 -36 + 14x = (-2 * 4 + 3x * 4) + 3 -36 + 14x = (-8 + 12x) + 3 Reorder the terms: -36 + 14x = -8 + 3 + 12x Combine like terms: -8 + 3 = -5 -36 + 14x = -5 + 12x Solving -36 + 14x = -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. -36 + 14x + -12x = -5 + 12x + -12x Combine like terms: 14x + -12x = 2x -36 + 2x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -36 + 2x = -5 + 0 -36 + 2x = -5 Add '36' to each side of the equation. -36 + 36 + 2x = -5 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -5 + 36 2x = -5 + 36 Combine like terms: -5 + 36 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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