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Simplifying 15x + -4(3x + 2) = 2x + 3 Reorder the terms: 15x + -4(2 + 3x) = 2x + 3 15x + (2 * -4 + 3x * -4) = 2x + 3 15x + (-8 + -12x) = 2x + 3 Reorder the terms: -8 + 15x + -12x = 2x + 3 Combine like terms: 15x + -12x = 3x -8 + 3x = 2x + 3 Reorder the terms: -8 + 3x = 3 + 2x Solving -8 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = 3 + 0 -8 + 1x = 3 Add '8' to each side of the equation. -8 + 8 + 1x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 3 + 8 1x = 3 + 8 Combine like terms: 3 + 8 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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