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Simplifying 2x + 3 = 4(x + -1) + 1 Reorder the terms: 3 + 2x = 4(x + -1) + 1 Reorder the terms: 3 + 2x = 4(-1 + x) + 1 3 + 2x = (-1 * 4 + x * 4) + 1 3 + 2x = (-4 + 4x) + 1 Reorder the terms: 3 + 2x = -4 + 1 + 4x Combine like terms: -4 + 1 = -3 3 + 2x = -3 + 4x Solving 3 + 2x = -3 + 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. 3 + 2x + -4x = -3 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = -3 + 0 3 + -2x = -3 Add '-3' to each side of the equation. 3 + -3 + -2x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -3 + -3 -2x = -3 + -3 Combine like terms: -3 + -3 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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