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Simplifying 4x + 2(4x + -4) + 4 = -11 + 8(4x + -4) + -1x Reorder the terms: 4x + 2(-4 + 4x) + 4 = -11 + 8(4x + -4) + -1x 4x + (-4 * 2 + 4x * 2) + 4 = -11 + 8(4x + -4) + -1x 4x + (-8 + 8x) + 4 = -11 + 8(4x + -4) + -1x Reorder the terms: -8 + 4 + 4x + 8x = -11 + 8(4x + -4) + -1x Combine like terms: -8 + 4 = -4 -4 + 4x + 8x = -11 + 8(4x + -4) + -1x Combine like terms: 4x + 8x = 12x -4 + 12x = -11 + 8(4x + -4) + -1x Reorder the terms: -4 + 12x = -11 + 8(-4 + 4x) + -1x -4 + 12x = -11 + (-4 * 8 + 4x * 8) + -1x -4 + 12x = -11 + (-32 + 32x) + -1x Combine like terms: -11 + -32 = -43 -4 + 12x = -43 + 32x + -1x Combine like terms: 32x + -1x = 31x -4 + 12x = -43 + 31x Solving -4 + 12x = -43 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -4 + 12x + -31x = -43 + 31x + -31x Combine like terms: 12x + -31x = -19x -4 + -19x = -43 + 31x + -31x Combine like terms: 31x + -31x = 0 -4 + -19x = -43 + 0 -4 + -19x = -43 Add '4' to each side of the equation. -4 + 4 + -19x = -43 + 4 Combine like terms: -4 + 4 = 0 0 + -19x = -43 + 4 -19x = -43 + 4 Combine like terms: -43 + 4 = -39 -19x = -39 Divide each side by '-19'. x = 2.052631579 Simplifying x = 2.052631579
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