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Simplifying 6x + 3 + -4(x + 1) = 7x + 3 Reorder the terms: 6x + 3 + -4(1 + x) = 7x + 3 6x + 3 + (1 * -4 + x * -4) = 7x + 3 6x + 3 + (-4 + -4x) = 7x + 3 Reorder the terms: 3 + -4 + 6x + -4x = 7x + 3 Combine like terms: 3 + -4 = -1 -1 + 6x + -4x = 7x + 3 Combine like terms: 6x + -4x = 2x -1 + 2x = 7x + 3 Reorder the terms: -1 + 2x = 3 + 7x Solving -1 + 2x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 2x + -7x = 3 + 7x + -7x Combine like terms: 2x + -7x = -5x -1 + -5x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -5x = 3 + 0 -1 + -5x = 3 Add '1' to each side of the equation. -1 + 1 + -5x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 3 + 1 -5x = 3 + 1 Combine like terms: 3 + 1 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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