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Simplifying 4(x + -1) + 1 = 3(x + 1) + 10 Reorder the terms: 4(-1 + x) + 1 = 3(x + 1) + 10 (-1 * 4 + x * 4) + 1 = 3(x + 1) + 10 (-4 + 4x) + 1 = 3(x + 1) + 10 Reorder the terms: -4 + 1 + 4x = 3(x + 1) + 10 Combine like terms: -4 + 1 = -3 -3 + 4x = 3(x + 1) + 10 Reorder the terms: -3 + 4x = 3(1 + x) + 10 -3 + 4x = (1 * 3 + x * 3) + 10 -3 + 4x = (3 + 3x) + 10 Reorder the terms: -3 + 4x = 3 + 10 + 3x Combine like terms: 3 + 10 = 13 -3 + 4x = 13 + 3x Solving -3 + 4x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 4x + -3x = 13 + 3x + -3x Combine like terms: 4x + -3x = 1x -3 + 1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 1x = 13 + 0 -3 + 1x = 13 Add '3' to each side of the equation. -3 + 3 + 1x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 13 + 3 1x = 13 + 3 Combine like terms: 13 + 3 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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