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Simplifying (2x + -3) + 3(2x + 8) = 4x + -3 Reorder the terms: (-3 + 2x) + 3(2x + 8) = 4x + -3 Remove parenthesis around (-3 + 2x) -3 + 2x + 3(2x + 8) = 4x + -3 Reorder the terms: -3 + 2x + 3(8 + 2x) = 4x + -3 -3 + 2x + (8 * 3 + 2x * 3) = 4x + -3 -3 + 2x + (24 + 6x) = 4x + -3 Reorder the terms: -3 + 24 + 2x + 6x = 4x + -3 Combine like terms: -3 + 24 = 21 21 + 2x + 6x = 4x + -3 Combine like terms: 2x + 6x = 8x 21 + 8x = 4x + -3 Reorder the terms: 21 + 8x = -3 + 4x Solving 21 + 8x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 8x + -4x = -3 + 4x + -4x Combine like terms: 8x + -4x = 4x 21 + 4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 4x = -3 + 0 21 + 4x = -3 Add '-21' to each side of the equation. 21 + -21 + 4x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = -3 + -21 4x = -3 + -21 Combine like terms: -3 + -21 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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