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Simplifying 8(x + 3) + -2x = 4 + -4(x + 10) Reorder the terms: 8(3 + x) + -2x = 4 + -4(x + 10) (3 * 8 + x * 8) + -2x = 4 + -4(x + 10) (24 + 8x) + -2x = 4 + -4(x + 10) Combine like terms: 8x + -2x = 6x 24 + 6x = 4 + -4(x + 10) Reorder the terms: 24 + 6x = 4 + -4(10 + x) 24 + 6x = 4 + (10 * -4 + x * -4) 24 + 6x = 4 + (-40 + -4x) Combine like terms: 4 + -40 = -36 24 + 6x = -36 + -4x Solving 24 + 6x = -36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 6x + 4x = -36 + -4x + 4x Combine like terms: 6x + 4x = 10x 24 + 10x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 10x = -36 + 0 24 + 10x = -36 Add '-24' to each side of the equation. 24 + -24 + 10x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -36 + -24 10x = -36 + -24 Combine like terms: -36 + -24 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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