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Simplifying 8(3x + -2) + 10 = 2(x + 2) + -4 Reorder the terms: 8(-2 + 3x) + 10 = 2(x + 2) + -4 (-2 * 8 + 3x * 8) + 10 = 2(x + 2) + -4 (-16 + 24x) + 10 = 2(x + 2) + -4 Reorder the terms: -16 + 10 + 24x = 2(x + 2) + -4 Combine like terms: -16 + 10 = -6 -6 + 24x = 2(x + 2) + -4 Reorder the terms: -6 + 24x = 2(2 + x) + -4 -6 + 24x = (2 * 2 + x * 2) + -4 -6 + 24x = (4 + 2x) + -4 Reorder the terms: -6 + 24x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 -6 + 24x = 0 + 2x -6 + 24x = 2x Solving -6 + 24x = 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. -6 + 24x + -2x = 2x + -2x Combine like terms: 24x + -2x = 22x -6 + 22x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 22x = 0 Add '6' to each side of the equation. -6 + 6 + 22x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 0 + 6 22x = 0 + 6 Combine like terms: 0 + 6 = 6 22x = 6 Divide each side by '22'. x = 0.2727272727 Simplifying x = 0.2727272727
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