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Simplifying 10x + -4(x + -2) = 12 + 7(x + 3) Reorder the terms: 10x + -4(-2 + x) = 12 + 7(x + 3) 10x + (-2 * -4 + x * -4) = 12 + 7(x + 3) 10x + (8 + -4x) = 12 + 7(x + 3) Reorder the terms: 8 + 10x + -4x = 12 + 7(x + 3) Combine like terms: 10x + -4x = 6x 8 + 6x = 12 + 7(x + 3) Reorder the terms: 8 + 6x = 12 + 7(3 + x) 8 + 6x = 12 + (3 * 7 + x * 7) 8 + 6x = 12 + (21 + 7x) Combine like terms: 12 + 21 = 33 8 + 6x = 33 + 7x Solving 8 + 6x = 33 + 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. 8 + 6x + -7x = 33 + 7x + -7x Combine like terms: 6x + -7x = -1x 8 + -1x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -1x = 33 + 0 8 + -1x = 33 Add '-8' to each side of the equation. 8 + -8 + -1x = 33 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 33 + -8 -1x = 33 + -8 Combine like terms: 33 + -8 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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