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