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Simplifying 5x + 3 + -2(x + 1) = 7x + 4 Reorder the terms: 5x + 3 + -2(1 + x) = 7x + 4 5x + 3 + (1 * -2 + x * -2) = 7x + 4 5x + 3 + (-2 + -2x) = 7x + 4 Reorder the terms: 3 + -2 + 5x + -2x = 7x + 4 Combine like terms: 3 + -2 = 1 1 + 5x + -2x = 7x + 4 Combine like terms: 5x + -2x = 3x 1 + 3x = 7x + 4 Reorder the terms: 1 + 3x = 4 + 7x Solving 1 + 3x = 4 + 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 + 3x + -7x = 4 + 7x + -7x Combine like terms: 3x + -7x = -4x 1 + -4x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -4x = 4 + 0 1 + -4x = 4 Add '-1' to each side of the equation. 1 + -1 + -4x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 4 + -1 -4x = 4 + -1 Combine like terms: 4 + -1 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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