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Simplifying 4(5x + -3) + -2(3x + 1) = 4x + 10 + 2x Reorder the terms: 4(-3 + 5x) + -2(3x + 1) = 4x + 10 + 2x (-3 * 4 + 5x * 4) + -2(3x + 1) = 4x + 10 + 2x (-12 + 20x) + -2(3x + 1) = 4x + 10 + 2x Reorder the terms: -12 + 20x + -2(1 + 3x) = 4x + 10 + 2x -12 + 20x + (1 * -2 + 3x * -2) = 4x + 10 + 2x -12 + 20x + (-2 + -6x) = 4x + 10 + 2x Reorder the terms: -12 + -2 + 20x + -6x = 4x + 10 + 2x Combine like terms: -12 + -2 = -14 -14 + 20x + -6x = 4x + 10 + 2x Combine like terms: 20x + -6x = 14x -14 + 14x = 4x + 10 + 2x Reorder the terms: -14 + 14x = 10 + 4x + 2x Combine like terms: 4x + 2x = 6x -14 + 14x = 10 + 6x Solving -14 + 14x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 14x + -6x = 10 + 6x + -6x Combine like terms: 14x + -6x = 8x -14 + 8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 8x = 10 + 0 -14 + 8x = 10 Add '14' to each side of the equation. -14 + 14 + 8x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 10 + 14 8x = 10 + 14 Combine like terms: 10 + 14 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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