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Simplifying 4x + -10 = 3(x + 1) + -5 Reorder the terms: -10 + 4x = 3(x + 1) + -5 Reorder the terms: -10 + 4x = 3(1 + x) + -5 -10 + 4x = (1 * 3 + x * 3) + -5 -10 + 4x = (3 + 3x) + -5 Reorder the terms: -10 + 4x = 3 + -5 + 3x Combine like terms: 3 + -5 = -2 -10 + 4x = -2 + 3x Solving -10 + 4x = -2 + 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. -10 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x -10 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 1x = -2 + 0 -10 + 1x = -2 Add '10' to each side of the equation. -10 + 10 + 1x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -2 + 10 1x = -2 + 10 Combine like terms: -2 + 10 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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