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Simplifying 8x + 3(x + 4) = 10x + -7 Reorder the terms: 8x + 3(4 + x) = 10x + -7 8x + (4 * 3 + x * 3) = 10x + -7 8x + (12 + 3x) = 10x + -7 Reorder the terms: 12 + 8x + 3x = 10x + -7 Combine like terms: 8x + 3x = 11x 12 + 11x = 10x + -7 Reorder the terms: 12 + 11x = -7 + 10x Solving 12 + 11x = -7 + 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. 12 + 11x + -10x = -7 + 10x + -10x Combine like terms: 11x + -10x = 1x 12 + 1x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 1x = -7 + 0 12 + 1x = -7 Add '-12' to each side of the equation. 12 + -12 + 1x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -7 + -12 1x = -7 + -12 Combine like terms: -7 + -12 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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