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Simplifying 4(-8x + 2) + -6x = 7 + 2x Reorder the terms: 4(2 + -8x) + -6x = 7 + 2x (2 * 4 + -8x * 4) + -6x = 7 + 2x (8 + -32x) + -6x = 7 + 2x Combine like terms: -32x + -6x = -38x 8 + -38x = 7 + 2x Solving 8 + -38x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -38x + -2x = 7 + 2x + -2x Combine like terms: -38x + -2x = -40x 8 + -40x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -40x = 7 + 0 8 + -40x = 7 Add '-8' to each side of the equation. 8 + -8 + -40x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -40x = 7 + -8 -40x = 7 + -8 Combine like terms: 7 + -8 = -1 -40x = -1 Divide each side by '-40'. x = 0.025 Simplifying x = 0.025
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