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Simplifying 4(3x + -2) + -3 = 4(x + -2) + 13 Reorder the terms: 4(-2 + 3x) + -3 = 4(x + -2) + 13 (-2 * 4 + 3x * 4) + -3 = 4(x + -2) + 13 (-8 + 12x) + -3 = 4(x + -2) + 13 Reorder the terms: -8 + -3 + 12x = 4(x + -2) + 13 Combine like terms: -8 + -3 = -11 -11 + 12x = 4(x + -2) + 13 Reorder the terms: -11 + 12x = 4(-2 + x) + 13 -11 + 12x = (-2 * 4 + x * 4) + 13 -11 + 12x = (-8 + 4x) + 13 Reorder the terms: -11 + 12x = -8 + 13 + 4x Combine like terms: -8 + 13 = 5 -11 + 12x = 5 + 4x Solving -11 + 12x = 5 + 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. -11 + 12x + -4x = 5 + 4x + -4x Combine like terms: 12x + -4x = 8x -11 + 8x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 8x = 5 + 0 -11 + 8x = 5 Add '11' to each side of the equation. -11 + 11 + 8x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 5 + 11 8x = 5 + 11 Combine like terms: 5 + 11 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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