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Simplifying 4(2x + 1) + 3(x + -2) = 7x + 30 Reorder the terms: 4(1 + 2x) + 3(x + -2) = 7x + 30 (1 * 4 + 2x * 4) + 3(x + -2) = 7x + 30 (4 + 8x) + 3(x + -2) = 7x + 30 Reorder the terms: 4 + 8x + 3(-2 + x) = 7x + 30 4 + 8x + (-2 * 3 + x * 3) = 7x + 30 4 + 8x + (-6 + 3x) = 7x + 30 Reorder the terms: 4 + -6 + 8x + 3x = 7x + 30 Combine like terms: 4 + -6 = -2 -2 + 8x + 3x = 7x + 30 Combine like terms: 8x + 3x = 11x -2 + 11x = 7x + 30 Reorder the terms: -2 + 11x = 30 + 7x Solving -2 + 11x = 30 + 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. -2 + 11x + -7x = 30 + 7x + -7x Combine like terms: 11x + -7x = 4x -2 + 4x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 4x = 30 + 0 -2 + 4x = 30 Add '2' to each side of the equation. -2 + 2 + 4x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 30 + 2 4x = 30 + 2 Combine like terms: 30 + 2 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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