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Simplifying x + 8 = 4(4x + -6) Reorder the terms: 8 + x = 4(4x + -6) Reorder the terms: 8 + x = 4(-6 + 4x) 8 + x = (-6 * 4 + 4x * 4) 8 + x = (-24 + 16x) Solving 8 + x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 8 + x + -16x = -24 + 16x + -16x Combine like terms: x + -16x = -15x 8 + -15x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -15x = -24 + 0 8 + -15x = -24 Add '-8' to each side of the equation. 8 + -8 + -15x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = -24 + -8 -15x = -24 + -8 Combine like terms: -24 + -8 = -32 -15x = -32 Divide each side by '-15'. x = 2.133333333 Simplifying x = 2.133333333
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