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Simplifying -4x + 11x + 8 + -8x + 40 = 13 + -3x + -4x + 6 + -1 Reorder the terms: 8 + 40 + -4x + 11x + -8x = 13 + -3x + -4x + 6 + -1 Combine like terms: 8 + 40 = 48 48 + -4x + 11x + -8x = 13 + -3x + -4x + 6 + -1 Combine like terms: -4x + 11x = 7x 48 + 7x + -8x = 13 + -3x + -4x + 6 + -1 Combine like terms: 7x + -8x = -1x 48 + -1x = 13 + -3x + -4x + 6 + -1 Reorder the terms: 48 + -1x = 13 + 6 + -1 + -3x + -4x Combine like terms: 13 + 6 = 19 48 + -1x = 19 + -1 + -3x + -4x Combine like terms: 19 + -1 = 18 48 + -1x = 18 + -3x + -4x Combine like terms: -3x + -4x = -7x 48 + -1x = 18 + -7x Solving 48 + -1x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 48 + -1x + 7x = 18 + -7x + 7x Combine like terms: -1x + 7x = 6x 48 + 6x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 48 + 6x = 18 + 0 48 + 6x = 18 Add '-48' to each side of the equation. 48 + -48 + 6x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 18 + -48 6x = 18 + -48 Combine like terms: 18 + -48 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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