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Simplifying 6(1 + -5x) + 10x = -7 + 3(x + 2) (1 * 6 + -5x * 6) + 10x = -7 + 3(x + 2) (6 + -30x) + 10x = -7 + 3(x + 2) Combine like terms: -30x + 10x = -20x 6 + -20x = -7 + 3(x + 2) Reorder the terms: 6 + -20x = -7 + 3(2 + x) 6 + -20x = -7 + (2 * 3 + x * 3) 6 + -20x = -7 + (6 + 3x) Combine like terms: -7 + 6 = -1 6 + -20x = -1 + 3x Solving 6 + -20x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -20x + -3x = -1 + 3x + -3x Combine like terms: -20x + -3x = -23x 6 + -23x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -23x = -1 + 0 6 + -23x = -1 Add '-6' to each side of the equation. 6 + -6 + -23x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -23x = -1 + -6 -23x = -1 + -6 Combine like terms: -1 + -6 = -7 -23x = -7 Divide each side by '-23'. x = 0.3043478261 Simplifying x = 0.3043478261
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