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Simplifying 3(x + -3) + 4 = 2[-1(x + -5) + -4(2x + 1)] Reorder the terms: 3(-3 + x) + 4 = 2[-1(x + -5) + -4(2x + 1)] (-3 * 3 + x * 3) + 4 = 2[-1(x + -5) + -4(2x + 1)] (-9 + 3x) + 4 = 2[-1(x + -5) + -4(2x + 1)] Reorder the terms: -9 + 4 + 3x = 2[-1(x + -5) + -4(2x + 1)] Combine like terms: -9 + 4 = -5 -5 + 3x = 2[-1(x + -5) + -4(2x + 1)] Reorder the terms: -5 + 3x = 2[-1(-5 + x) + -4(2x + 1)] -5 + 3x = 2[(-5 * -1 + x * -1) + -4(2x + 1)] -5 + 3x = 2[(5 + -1x) + -4(2x + 1)] Reorder the terms: -5 + 3x = 2[5 + -1x + -4(1 + 2x)] -5 + 3x = 2[5 + -1x + (1 * -4 + 2x * -4)] -5 + 3x = 2[5 + -1x + (-4 + -8x)] Reorder the terms: -5 + 3x = 2[5 + -4 + -1x + -8x] Combine like terms: 5 + -4 = 1 -5 + 3x = 2[1 + -1x + -8x] Combine like terms: -1x + -8x = -9x -5 + 3x = 2[1 + -9x] -5 + 3x = [1 * 2 + -9x * 2] -5 + 3x = [2 + -18x] Solving -5 + 3x = 2 + -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. -5 + 3x + 18x = 2 + -18x + 18x Combine like terms: 3x + 18x = 21x -5 + 21x = 2 + -18x + 18x Combine like terms: -18x + 18x = 0 -5 + 21x = 2 + 0 -5 + 21x = 2 Add '5' to each side of the equation. -5 + 5 + 21x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 21x = 2 + 5 21x = 2 + 5 Combine like terms: 2 + 5 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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