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Simplifying 10 + -4(2x + 3) = 5 + -6x Reorder the terms: 10 + -4(3 + 2x) = 5 + -6x 10 + (3 * -4 + 2x * -4) = 5 + -6x 10 + (-12 + -8x) = 5 + -6x Combine like terms: 10 + -12 = -2 -2 + -8x = 5 + -6x Solving -2 + -8x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -8x + 6x = 5 + -6x + 6x Combine like terms: -8x + 6x = -2x -2 + -2x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -2x = 5 + 0 -2 + -2x = 5 Add '2' to each side of the equation. -2 + 2 + -2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 5 + 2 -2x = 5 + 2 Combine like terms: 5 + 2 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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