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Simplifying 4x + 2 = 8(3x + -6) Reorder the terms: 2 + 4x = 8(3x + -6) Reorder the terms: 2 + 4x = 8(-6 + 3x) 2 + 4x = (-6 * 8 + 3x * 8) 2 + 4x = (-48 + 24x) Solving 2 + 4x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 2 + 4x + -24x = -48 + 24x + -24x Combine like terms: 4x + -24x = -20x 2 + -20x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 2 + -20x = -48 + 0 2 + -20x = -48 Add '-2' to each side of the equation. 2 + -2 + -20x = -48 + -2 Combine like terms: 2 + -2 = 0 0 + -20x = -48 + -2 -20x = -48 + -2 Combine like terms: -48 + -2 = -50 -20x = -50 Divide each side by '-20'. x = 2.5 Simplifying x = 2.5
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