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Simplifying 4(x + 1) + -5(x + 6) = 3x + 4 Reorder the terms: 4(1 + x) + -5(x + 6) = 3x + 4 (1 * 4 + x * 4) + -5(x + 6) = 3x + 4 (4 + 4x) + -5(x + 6) = 3x + 4 Reorder the terms: 4 + 4x + -5(6 + x) = 3x + 4 4 + 4x + (6 * -5 + x * -5) = 3x + 4 4 + 4x + (-30 + -5x) = 3x + 4 Reorder the terms: 4 + -30 + 4x + -5x = 3x + 4 Combine like terms: 4 + -30 = -26 -26 + 4x + -5x = 3x + 4 Combine like terms: 4x + -5x = -1x -26 + -1x = 3x + 4 Reorder the terms: -26 + -1x = 4 + 3x Solving -26 + -1x = 4 + 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. -26 + -1x + -3x = 4 + 3x + -3x Combine like terms: -1x + -3x = -4x -26 + -4x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + -4x = 4 + 0 -26 + -4x = 4 Add '26' to each side of the equation. -26 + 26 + -4x = 4 + 26 Combine like terms: -26 + 26 = 0 0 + -4x = 4 + 26 -4x = 4 + 26 Combine like terms: 4 + 26 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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