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Simplifying 4x + 6 = (2x + -6) * 4 Reorder the terms: 6 + 4x = (2x + -6) * 4 Reorder the terms: 6 + 4x = (-6 + 2x) * 4 Reorder the terms for easier multiplication: 6 + 4x = 4(-6 + 2x) 6 + 4x = (-6 * 4 + 2x * 4) 6 + 4x = (-24 + 8x) Solving 6 + 4x = -24 + 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. 6 + 4x + -8x = -24 + 8x + -8x Combine like terms: 4x + -8x = -4x 6 + -4x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -4x = -24 + 0 6 + -4x = -24 Add '-6' to each side of the equation. 6 + -6 + -4x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -24 + -6 -4x = -24 + -6 Combine like terms: -24 + -6 = -30 -4x = -30 Divide each side by '-4'. x = 7.5 Simplifying x = 7.5
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