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Simplifying 8(3x + -2) + 3 = 2x + 1 Reorder the terms: 8(-2 + 3x) + 3 = 2x + 1 (-2 * 8 + 3x * 8) + 3 = 2x + 1 (-16 + 24x) + 3 = 2x + 1 Reorder the terms: -16 + 3 + 24x = 2x + 1 Combine like terms: -16 + 3 = -13 -13 + 24x = 2x + 1 Reorder the terms: -13 + 24x = 1 + 2x Solving -13 + 24x = 1 + 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. -13 + 24x + -2x = 1 + 2x + -2x Combine like terms: 24x + -2x = 22x -13 + 22x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 22x = 1 + 0 -13 + 22x = 1 Add '13' to each side of the equation. -13 + 13 + 22x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 22x = 1 + 13 22x = 1 + 13 Combine like terms: 1 + 13 = 14 22x = 14 Divide each side by '22'. x = 0.6363636364 Simplifying x = 0.6363636364
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