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Simplifying -7(3x + 1) + 5x = -10x + 4 Reorder the terms: -7(1 + 3x) + 5x = -10x + 4 (1 * -7 + 3x * -7) + 5x = -10x + 4 (-7 + -21x) + 5x = -10x + 4 Combine like terms: -21x + 5x = -16x -7 + -16x = -10x + 4 Reorder the terms: -7 + -16x = 4 + -10x Solving -7 + -16x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + -16x + 10x = 4 + -10x + 10x Combine like terms: -16x + 10x = -6x -7 + -6x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + -6x = 4 + 0 -7 + -6x = 4 Add '7' to each side of the equation. -7 + 7 + -6x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 4 + 7 -6x = 4 + 7 Combine like terms: 4 + 7 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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