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Simplifying 5x + 4(2x + -3) = 3x + -4(x + 2) + 1 Reorder the terms: 5x + 4(-3 + 2x) = 3x + -4(x + 2) + 1 5x + (-3 * 4 + 2x * 4) = 3x + -4(x + 2) + 1 5x + (-12 + 8x) = 3x + -4(x + 2) + 1 Reorder the terms: -12 + 5x + 8x = 3x + -4(x + 2) + 1 Combine like terms: 5x + 8x = 13x -12 + 13x = 3x + -4(x + 2) + 1 Reorder the terms: -12 + 13x = 3x + -4(2 + x) + 1 -12 + 13x = 3x + (2 * -4 + x * -4) + 1 -12 + 13x = 3x + (-8 + -4x) + 1 Reorder the terms: -12 + 13x = -8 + 1 + 3x + -4x Combine like terms: -8 + 1 = -7 -12 + 13x = -7 + 3x + -4x Combine like terms: 3x + -4x = -1x -12 + 13x = -7 + -1x Solving -12 + 13x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 13x + x = -7 + -1x + x Combine like terms: 13x + x = 14x -12 + 14x = -7 + -1x + x Combine like terms: -1x + x = 0 -12 + 14x = -7 + 0 -12 + 14x = -7 Add '12' to each side of the equation. -12 + 12 + 14x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = -7 + 12 14x = -7 + 12 Combine like terms: -7 + 12 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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