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Simplifying 4x + -11 = 3(x + -6) + 11 Reorder the terms: -11 + 4x = 3(x + -6) + 11 Reorder the terms: -11 + 4x = 3(-6 + x) + 11 -11 + 4x = (-6 * 3 + x * 3) + 11 -11 + 4x = (-18 + 3x) + 11 Reorder the terms: -11 + 4x = -18 + 11 + 3x Combine like terms: -18 + 11 = -7 -11 + 4x = -7 + 3x Solving -11 + 4x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -11 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 1x = -7 + 0 -11 + 1x = -7 Add '11' to each side of the equation. -11 + 11 + 1x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -7 + 11 1x = -7 + 11 Combine like terms: -7 + 11 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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