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Simplifying 4x + 2[1 + -3(x + 5)] = 3x Reorder the terms: 4x + 2[1 + -3(5 + x)] = 3x 4x + 2[1 + (5 * -3 + x * -3)] = 3x 4x + 2[1 + (-15 + -3x)] = 3x Combine like terms: 1 + -15 = -14 4x + 2[-14 + -3x] = 3x 4x + [-14 * 2 + -3x * 2] = 3x 4x + [-28 + -6x] = 3x Reorder the terms: -28 + 4x + -6x = 3x Combine like terms: 4x + -6x = -2x -28 + -2x = 3x Solving -28 + -2x = 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. -28 + -2x + -3x = 3x + -3x Combine like terms: -2x + -3x = -5x -28 + -5x = 3x + -3x Combine like terms: 3x + -3x = 0 -28 + -5x = 0 Add '28' to each side of the equation. -28 + 28 + -5x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 0 + 28 -5x = 0 + 28 Combine like terms: 0 + 28 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6
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