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Simplifying 8x + -2(4x + 1) + -31 = 2x + -19 Reorder the terms: 8x + -2(1 + 4x) + -31 = 2x + -19 8x + (1 * -2 + 4x * -2) + -31 = 2x + -19 8x + (-2 + -8x) + -31 = 2x + -19 Reorder the terms: -2 + -31 + 8x + -8x = 2x + -19 Combine like terms: -2 + -31 = -33 -33 + 8x + -8x = 2x + -19 Combine like terms: 8x + -8x = 0 -33 + 0 = 2x + -19 -33 = 2x + -19 Reorder the terms: -33 = -19 + 2x Solving -33 = -19 + 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. -33 + -2x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + -2x = -19 + 0 -33 + -2x = -19 Add '33' to each side of the equation. -33 + 33 + -2x = -19 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = -19 + 33 -2x = -19 + 33 Combine like terms: -19 + 33 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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