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Simplifying 4(x + -3) + 3(x + 2) = 15 + -3x Reorder the terms: 4(-3 + x) + 3(x + 2) = 15 + -3x (-3 * 4 + x * 4) + 3(x + 2) = 15 + -3x (-12 + 4x) + 3(x + 2) = 15 + -3x Reorder the terms: -12 + 4x + 3(2 + x) = 15 + -3x -12 + 4x + (2 * 3 + x * 3) = 15 + -3x -12 + 4x + (6 + 3x) = 15 + -3x Reorder the terms: -12 + 6 + 4x + 3x = 15 + -3x Combine like terms: -12 + 6 = -6 -6 + 4x + 3x = 15 + -3x Combine like terms: 4x + 3x = 7x -6 + 7x = 15 + -3x Solving -6 + 7x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 7x + 3x = 15 + -3x + 3x Combine like terms: 7x + 3x = 10x -6 + 10x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 10x = 15 + 0 -6 + 10x = 15 Add '6' to each side of the equation. -6 + 6 + 10x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 15 + 6 10x = 15 + 6 Combine like terms: 15 + 6 = 21 10x = 21 Divide each side by '10'. x = 2.1 Simplifying x = 2.1
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