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Simplifying 15x + -20 = 6x + -1(x + 4) + -1(3 + -1x) Reorder the terms: -20 + 15x = 6x + -1(x + 4) + -1(3 + -1x) Reorder the terms: -20 + 15x = 6x + -1(4 + x) + -1(3 + -1x) -20 + 15x = 6x + (4 * -1 + x * -1) + -1(3 + -1x) -20 + 15x = 6x + (-4 + -1x) + -1(3 + -1x) -20 + 15x = 6x + -4 + -1x + (3 * -1 + -1x * -1) -20 + 15x = 6x + -4 + -1x + (-3 + 1x) Reorder the terms: -20 + 15x = -4 + -3 + 6x + -1x + 1x Combine like terms: -4 + -3 = -7 -20 + 15x = -7 + 6x + -1x + 1x Combine like terms: 6x + -1x = 5x -20 + 15x = -7 + 5x + 1x Combine like terms: 5x + 1x = 6x -20 + 15x = -7 + 6x Solving -20 + 15x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 15x + -6x = -7 + 6x + -6x Combine like terms: 15x + -6x = 9x -20 + 9x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 9x = -7 + 0 -20 + 9x = -7 Add '20' to each side of the equation. -20 + 20 + 9x = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = -7 + 20 9x = -7 + 20 Combine like terms: -7 + 20 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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