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Simplifying -7(-3x + 4) + -6x = 7(x + -1) + -9 Reorder the terms: -7(4 + -3x) + -6x = 7(x + -1) + -9 (4 * -7 + -3x * -7) + -6x = 7(x + -1) + -9 (-28 + 21x) + -6x = 7(x + -1) + -9 Combine like terms: 21x + -6x = 15x -28 + 15x = 7(x + -1) + -9 Reorder the terms: -28 + 15x = 7(-1 + x) + -9 -28 + 15x = (-1 * 7 + x * 7) + -9 -28 + 15x = (-7 + 7x) + -9 Reorder the terms: -28 + 15x = -7 + -9 + 7x Combine like terms: -7 + -9 = -16 -28 + 15x = -16 + 7x Solving -28 + 15x = -16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -28 + 15x + -7x = -16 + 7x + -7x Combine like terms: 15x + -7x = 8x -28 + 8x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + 8x = -16 + 0 -28 + 8x = -16 Add '28' to each side of the equation. -28 + 28 + 8x = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = -16 + 28 8x = -16 + 28 Combine like terms: -16 + 28 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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