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