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Simplifying 4(2x + -6) + -3 = 4(x + -2) + 5 Reorder the terms: 4(-6 + 2x) + -3 = 4(x + -2) + 5 (-6 * 4 + 2x * 4) + -3 = 4(x + -2) + 5 (-24 + 8x) + -3 = 4(x + -2) + 5 Reorder the terms: -24 + -3 + 8x = 4(x + -2) + 5 Combine like terms: -24 + -3 = -27 -27 + 8x = 4(x + -2) + 5 Reorder the terms: -27 + 8x = 4(-2 + x) + 5 -27 + 8x = (-2 * 4 + x * 4) + 5 -27 + 8x = (-8 + 4x) + 5 Reorder the terms: -27 + 8x = -8 + 5 + 4x Combine like terms: -8 + 5 = -3 -27 + 8x = -3 + 4x Solving -27 + 8x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 8x + -4x = -3 + 4x + -4x Combine like terms: 8x + -4x = 4x -27 + 4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 4x = -3 + 0 -27 + 4x = -3 Add '27' to each side of the equation. -27 + 27 + 4x = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = -3 + 27 4x = -3 + 27 Combine like terms: -3 + 27 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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