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Simplifying x + 6 = 4(4x + -6) Reorder the terms: 6 + x = 4(4x + -6) Reorder the terms: 6 + x = 4(-6 + 4x) 6 + x = (-6 * 4 + 4x * 4) 6 + x = (-24 + 16x) Solving 6 + 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. 6 + x + -16x = -24 + 16x + -16x Combine like terms: x + -16x = -15x 6 + -15x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -15x = -24 + 0 6 + -15x = -24 Add '-6' to each side of the equation. 6 + -6 + -15x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -24 + -6 -15x = -24 + -6 Combine like terms: -24 + -6 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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