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Simplifying 10 + -8(x + -3) = -8 + 9(4x + -10) Reorder the terms: 10 + -8(-3 + x) = -8 + 9(4x + -10) 10 + (-3 * -8 + x * -8) = -8 + 9(4x + -10) 10 + (24 + -8x) = -8 + 9(4x + -10) Combine like terms: 10 + 24 = 34 34 + -8x = -8 + 9(4x + -10) Reorder the terms: 34 + -8x = -8 + 9(-10 + 4x) 34 + -8x = -8 + (-10 * 9 + 4x * 9) 34 + -8x = -8 + (-90 + 36x) Combine like terms: -8 + -90 = -98 34 + -8x = -98 + 36x Solving 34 + -8x = -98 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 34 + -8x + -36x = -98 + 36x + -36x Combine like terms: -8x + -36x = -44x 34 + -44x = -98 + 36x + -36x Combine like terms: 36x + -36x = 0 34 + -44x = -98 + 0 34 + -44x = -98 Add '-34' to each side of the equation. 34 + -34 + -44x = -98 + -34 Combine like terms: 34 + -34 = 0 0 + -44x = -98 + -34 -44x = -98 + -34 Combine like terms: -98 + -34 = -132 -44x = -132 Divide each side by '-44'. x = 3 Simplifying x = 3
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