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Simplifying 6x + 5 + -4(x + 1) = 5x + 3 Reorder the terms: 6x + 5 + -4(1 + x) = 5x + 3 6x + 5 + (1 * -4 + x * -4) = 5x + 3 6x + 5 + (-4 + -4x) = 5x + 3 Reorder the terms: 5 + -4 + 6x + -4x = 5x + 3 Combine like terms: 5 + -4 = 1 1 + 6x + -4x = 5x + 3 Combine like terms: 6x + -4x = 2x 1 + 2x = 5x + 3 Reorder the terms: 1 + 2x = 3 + 5x Solving 1 + 2x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 2x + -5x = 3 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = 3 + 0 1 + -3x = 3 Add '-1' to each side of the equation. 1 + -1 + -3x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 3 + -1 -3x = 3 + -1 Combine like terms: 3 + -1 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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