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Simplifying 32 + 4x = 4(-1x + 7) + -44 Reorder the terms: 32 + 4x = 4(7 + -1x) + -44 32 + 4x = (7 * 4 + -1x * 4) + -44 32 + 4x = (28 + -4x) + -44 Reorder the terms: 32 + 4x = 28 + -44 + -4x Combine like terms: 28 + -44 = -16 32 + 4x = -16 + -4x Solving 32 + 4x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 32 + 4x + 4x = -16 + -4x + 4x Combine like terms: 4x + 4x = 8x 32 + 8x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + 8x = -16 + 0 32 + 8x = -16 Add '-32' to each side of the equation. 32 + -32 + 8x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -16 + -32 8x = -16 + -32 Combine like terms: -16 + -32 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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