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Simplifying 10x + 3(-2 + 4x) = 7 + -1x 10x + (-2 * 3 + 4x * 3) = 7 + -1x 10x + (-6 + 12x) = 7 + -1x Reorder the terms: -6 + 10x + 12x = 7 + -1x Combine like terms: 10x + 12x = 22x -6 + 22x = 7 + -1x Solving -6 + 22x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 22x + x = 7 + -1x + x Combine like terms: 22x + x = 23x -6 + 23x = 7 + -1x + x Combine like terms: -1x + x = 0 -6 + 23x = 7 + 0 -6 + 23x = 7 Add '6' to each side of the equation. -6 + 6 + 23x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 23x = 7 + 6 23x = 7 + 6 Combine like terms: 7 + 6 = 13 23x = 13 Divide each side by '23'. x = 0.5652173913 Simplifying x = 0.5652173913
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