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Simplifying 7x + 3 + 10(10 + -3x) = -8x + -1(-10 + -7X) + -2 7x + 3 + (10 * 10 + -3x * 10) = -8x + -1(-10 + -7X) + -2 7x + 3 + (100 + -30x) = -8x + -1(-10 + -7X) + -2 Reorder the terms: 3 + 100 + 7x + -30x = -8x + -1(-10 + -7X) + -2 Combine like terms: 3 + 100 = 103 103 + 7x + -30x = -8x + -1(-10 + -7X) + -2 Combine like terms: 7x + -30x = -23x 103 + -23x = -8x + -1(-10 + -7X) + -2 103 + -23x = -8x + (-10 * -1 + -7X * -1) + -2 103 + -23x = -8x + (10 + 7X) + -2 Reorder the terms: 103 + -23x = 10 + -2 + 7X + -8x Combine like terms: 10 + -2 = 8 103 + -23x = 8 + 7X + -8x Solving 103 + -23x = 8 + 7X + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 103 + -23x + 8x = 8 + 7X + -8x + 8x Combine like terms: -23x + 8x = -15x 103 + -15x = 8 + 7X + -8x + 8x Combine like terms: -8x + 8x = 0 103 + -15x = 8 + 7X + 0 103 + -15x = 8 + 7X Add '-103' to each side of the equation. 103 + -103 + -15x = 8 + -103 + 7X Combine like terms: 103 + -103 = 0 0 + -15x = 8 + -103 + 7X -15x = 8 + -103 + 7X Combine like terms: 8 + -103 = -95 -15x = -95 + 7X Divide each side by '-15'. x = 6.333333333 + -0.4666666667X Simplifying x = 6.333333333 + -0.4666666667X
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