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Simplifying 4 + 3(x + -2) = 3[4 + -6(x + 3)] Reorder the terms: 4 + 3(-2 + x) = 3[4 + -6(x + 3)] 4 + (-2 * 3 + x * 3) = 3[4 + -6(x + 3)] 4 + (-6 + 3x) = 3[4 + -6(x + 3)] Combine like terms: 4 + -6 = -2 -2 + 3x = 3[4 + -6(x + 3)] Reorder the terms: -2 + 3x = 3[4 + -6(3 + x)] -2 + 3x = 3[4 + (3 * -6 + x * -6)] -2 + 3x = 3[4 + (-18 + -6x)] Combine like terms: 4 + -18 = -14 -2 + 3x = 3[-14 + -6x] -2 + 3x = [-14 * 3 + -6x * 3] -2 + 3x = [-42 + -18x] Solving -2 + 3x = -42 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -2 + 3x + 18x = -42 + -18x + 18x Combine like terms: 3x + 18x = 21x -2 + 21x = -42 + -18x + 18x Combine like terms: -18x + 18x = 0 -2 + 21x = -42 + 0 -2 + 21x = -42 Add '2' to each side of the equation. -2 + 2 + 21x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 21x = -42 + 2 21x = -42 + 2 Combine like terms: -42 + 2 = -40 21x = -40 Divide each side by '21'. x = -1.904761905 Simplifying x = -1.904761905
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