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Simplifying 4(x + 1) + -2(3x + 5) = -3x + 1 Reorder the terms: 4(1 + x) + -2(3x + 5) = -3x + 1 (1 * 4 + x * 4) + -2(3x + 5) = -3x + 1 (4 + 4x) + -2(3x + 5) = -3x + 1 Reorder the terms: 4 + 4x + -2(5 + 3x) = -3x + 1 4 + 4x + (5 * -2 + 3x * -2) = -3x + 1 4 + 4x + (-10 + -6x) = -3x + 1 Reorder the terms: 4 + -10 + 4x + -6x = -3x + 1 Combine like terms: 4 + -10 = -6 -6 + 4x + -6x = -3x + 1 Combine like terms: 4x + -6x = -2x -6 + -2x = -3x + 1 Reorder the terms: -6 + -2x = 1 + -3x Solving -6 + -2x = 1 + -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. -6 + -2x + 3x = 1 + -3x + 3x Combine like terms: -2x + 3x = 1x -6 + 1x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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