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Simplifying 8 + -2(x + -10) + 4 = 4(-2 + 4x) Reorder the terms: 8 + -2(-10 + x) + 4 = 4(-2 + 4x) 8 + (-10 * -2 + x * -2) + 4 = 4(-2 + 4x) 8 + (20 + -2x) + 4 = 4(-2 + 4x) Reorder the terms: 8 + 20 + 4 + -2x = 4(-2 + 4x) Combine like terms: 8 + 20 = 28 28 + 4 + -2x = 4(-2 + 4x) Combine like terms: 28 + 4 = 32 32 + -2x = 4(-2 + 4x) 32 + -2x = (-2 * 4 + 4x * 4) 32 + -2x = (-8 + 16x) Solving 32 + -2x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 32 + -2x + -16x = -8 + 16x + -16x Combine like terms: -2x + -16x = -18x 32 + -18x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -18x = -8 + 0 32 + -18x = -8 Add '-32' to each side of the equation. 32 + -32 + -18x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -18x = -8 + -32 -18x = -8 + -32 Combine like terms: -8 + -32 = -40 -18x = -40 Divide each side by '-18'. x = 2.222222222 Simplifying x = 2.222222222
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