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Simplifying 4x + -2(3x + -4) = 16(x + -2) Reorder the terms: 4x + -2(-4 + 3x) = 16(x + -2) 4x + (-4 * -2 + 3x * -2) = 16(x + -2) 4x + (8 + -6x) = 16(x + -2) Reorder the terms: 8 + 4x + -6x = 16(x + -2) Combine like terms: 4x + -6x = -2x 8 + -2x = 16(x + -2) Reorder the terms: 8 + -2x = 16(-2 + x) 8 + -2x = (-2 * 16 + x * 16) 8 + -2x = (-32 + 16x) Solving 8 + -2x = -32 + 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. 8 + -2x + -16x = -32 + 16x + -16x Combine like terms: -2x + -16x = -18x 8 + -18x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -18x = -32 + 0 8 + -18x = -32 Add '-8' to each side of the equation. 8 + -8 + -18x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -32 + -8 -18x = -32 + -8 Combine like terms: -32 + -8 = -40 -18x = -40 Divide each side by '-18'. x = 2.222222222 Simplifying x = 2.222222222
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