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Simplifying x + -4(x + -4) = 7(x + 6) Reorder the terms: x + -4(-4 + x) = 7(x + 6) x + (-4 * -4 + x * -4) = 7(x + 6) x + (16 + -4x) = 7(x + 6) Reorder the terms: 16 + x + -4x = 7(x + 6) Combine like terms: x + -4x = -3x 16 + -3x = 7(x + 6) Reorder the terms: 16 + -3x = 7(6 + x) 16 + -3x = (6 * 7 + x * 7) 16 + -3x = (42 + 7x) Solving 16 + -3x = 42 + 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. 16 + -3x + -7x = 42 + 7x + -7x Combine like terms: -3x + -7x = -10x 16 + -10x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -10x = 42 + 0 16 + -10x = 42 Add '-16' to each side of the equation. 16 + -16 + -10x = 42 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = 42 + -16 -10x = 42 + -16 Combine like terms: 42 + -16 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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