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Simplifying -4 + -6(x + -3) = 7x + 3(x + -8) Reorder the terms: -4 + -6(-3 + x) = 7x + 3(x + -8) -4 + (-3 * -6 + x * -6) = 7x + 3(x + -8) -4 + (18 + -6x) = 7x + 3(x + -8) Combine like terms: -4 + 18 = 14 14 + -6x = 7x + 3(x + -8) Reorder the terms: 14 + -6x = 7x + 3(-8 + x) 14 + -6x = 7x + (-8 * 3 + x * 3) 14 + -6x = 7x + (-24 + 3x) Reorder the terms: 14 + -6x = -24 + 7x + 3x Combine like terms: 7x + 3x = 10x 14 + -6x = -24 + 10x Solving 14 + -6x = -24 + 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. 14 + -6x + -10x = -24 + 10x + -10x Combine like terms: -6x + -10x = -16x 14 + -16x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -16x = -24 + 0 14 + -16x = -24 Add '-14' to each side of the equation. 14 + -14 + -16x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -24 + -14 -16x = -24 + -14 Combine like terms: -24 + -14 = -38 -16x = -38 Divide each side by '-16'. x = 2.375 Simplifying x = 2.375
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