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Simplifying 4x + -6 = 8(3x + -2) Reorder the terms: -6 + 4x = 8(3x + -2) Reorder the terms: -6 + 4x = 8(-2 + 3x) -6 + 4x = (-2 * 8 + 3x * 8) -6 + 4x = (-16 + 24x) Solving -6 + 4x = -16 + 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. -6 + 4x + -24x = -16 + 24x + -24x Combine like terms: 4x + -24x = -20x -6 + -20x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 -6 + -20x = -16 + 0 -6 + -20x = -16 Add '6' to each side of the equation. -6 + 6 + -20x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -20x = -16 + 6 -20x = -16 + 6 Combine like terms: -16 + 6 = -10 -20x = -10 Divide each side by '-20'. x = 0.5 Simplifying x = 0.5
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