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Simplifying 4(2x + -3) + -3(2x + 1) = 7x Reorder the terms: 4(-3 + 2x) + -3(2x + 1) = 7x (-3 * 4 + 2x * 4) + -3(2x + 1) = 7x (-12 + 8x) + -3(2x + 1) = 7x Reorder the terms: -12 + 8x + -3(1 + 2x) = 7x -12 + 8x + (1 * -3 + 2x * -3) = 7x -12 + 8x + (-3 + -6x) = 7x Reorder the terms: -12 + -3 + 8x + -6x = 7x Combine like terms: -12 + -3 = -15 -15 + 8x + -6x = 7x Combine like terms: 8x + -6x = 2x -15 + 2x = 7x Solving -15 + 2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x -15 + -5x = 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -5x = 0 Add '15' to each side of the equation. -15 + 15 + -5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 0 + 15 -5x = 0 + 15 Combine like terms: 0 + 15 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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