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Simplifying -3 = 4(x + 1) + -3(x + 6) Reorder the terms: -3 = 4(1 + x) + -3(x + 6) -3 = (1 * 4 + x * 4) + -3(x + 6) -3 = (4 + 4x) + -3(x + 6) Reorder the terms: -3 = 4 + 4x + -3(6 + x) -3 = 4 + 4x + (6 * -3 + x * -3) -3 = 4 + 4x + (-18 + -3x) Reorder the terms: -3 = 4 + -18 + 4x + -3x Combine like terms: 4 + -18 = -14 -3 = -14 + 4x + -3x Combine like terms: 4x + -3x = 1x -3 = -14 + 1x Solving -3 = -14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + -1x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + -1x = -14 + 0 -3 + -1x = -14 Add '3' to each side of the equation. -3 + 3 + -1x = -14 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -14 + 3 -1x = -14 + 3 Combine like terms: -14 + 3 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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