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Simplifying 3x + 8 + 4x = -8(x + -6) + -8(13 + 5) Reorder the terms: 8 + 3x + 4x = -8(x + -6) + -8(13 + 5) Combine like terms: 3x + 4x = 7x 8 + 7x = -8(x + -6) + -8(13 + 5) Reorder the terms: 8 + 7x = -8(-6 + x) + -8(13 + 5) 8 + 7x = (-6 * -8 + x * -8) + -8(13 + 5) 8 + 7x = (48 + -8x) + -8(13 + 5) Combine like terms: 13 + 5 = 18 8 + 7x = 48 + -8x + -8(18) Multiply -8 * 18 8 + 7x = 48 + -8x + -144 Reorder the terms: 8 + 7x = 48 + -144 + -8x Combine like terms: 48 + -144 = -96 8 + 7x = -96 + -8x Solving 8 + 7x = -96 + -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. 8 + 7x + 8x = -96 + -8x + 8x Combine like terms: 7x + 8x = 15x 8 + 15x = -96 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 15x = -96 + 0 8 + 15x = -96 Add '-8' to each side of the equation. 8 + -8 + 15x = -96 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = -96 + -8 15x = -96 + -8 Combine like terms: -96 + -8 = -104 15x = -104 Divide each side by '15'. x = -6.933333333 Simplifying x = -6.933333333
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