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Simplifying 4(11 + -1x) + 8 = -8(x + -4) + -3 (11 * 4 + -1x * 4) + 8 = -8(x + -4) + -3 (44 + -4x) + 8 = -8(x + -4) + -3 Reorder the terms: 44 + 8 + -4x = -8(x + -4) + -3 Combine like terms: 44 + 8 = 52 52 + -4x = -8(x + -4) + -3 Reorder the terms: 52 + -4x = -8(-4 + x) + -3 52 + -4x = (-4 * -8 + x * -8) + -3 52 + -4x = (32 + -8x) + -3 Reorder the terms: 52 + -4x = 32 + -3 + -8x Combine like terms: 32 + -3 = 29 52 + -4x = 29 + -8x Solving 52 + -4x = 29 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 52 + -4x + 8x = 29 + -8x + 8x Combine like terms: -4x + 8x = 4x 52 + 4x = 29 + -8x + 8x Combine like terms: -8x + 8x = 0 52 + 4x = 29 + 0 52 + 4x = 29 Add '-52' to each side of the equation. 52 + -52 + 4x = 29 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 29 + -52 4x = 29 + -52 Combine like terms: 29 + -52 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75
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