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Simplifying -1[3x + (3x + 90)] = 9 + -1(4x + 3) Reorder the terms: -1[3x + (90 + 3x)] = 9 + -1(4x + 3) Remove parenthesis around (90 + 3x) -1[3x + 90 + 3x] = 9 + -1(4x + 3) Reorder the terms: -1[90 + 3x + 3x] = 9 + -1(4x + 3) Combine like terms: 3x + 3x = 6x -1[90 + 6x] = 9 + -1(4x + 3) [90 * -1 + 6x * -1] = 9 + -1(4x + 3) [-90 + -6x] = 9 + -1(4x + 3) Reorder the terms: -90 + -6x = 9 + -1(3 + 4x) -90 + -6x = 9 + (3 * -1 + 4x * -1) -90 + -6x = 9 + (-3 + -4x) Combine like terms: 9 + -3 = 6 -90 + -6x = 6 + -4x Solving -90 + -6x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -90 + -6x + 4x = 6 + -4x + 4x Combine like terms: -6x + 4x = -2x -90 + -2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -90 + -2x = 6 + 0 -90 + -2x = 6 Add '90' to each side of the equation. -90 + 90 + -2x = 6 + 90 Combine like terms: -90 + 90 = 0 0 + -2x = 6 + 90 -2x = 6 + 90 Combine like terms: 6 + 90 = 96 -2x = 96 Divide each side by '-2'. x = -48 Simplifying x = -48
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