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Simplifying 14 + -6(x + 1) = 12 + -4(x + 3) Reorder the terms: 14 + -6(1 + x) = 12 + -4(x + 3) 14 + (1 * -6 + x * -6) = 12 + -4(x + 3) 14 + (-6 + -6x) = 12 + -4(x + 3) Combine like terms: 14 + -6 = 8 8 + -6x = 12 + -4(x + 3) Reorder the terms: 8 + -6x = 12 + -4(3 + x) 8 + -6x = 12 + (3 * -4 + x * -4) 8 + -6x = 12 + (-12 + -4x) Combine like terms: 12 + -12 = 0 8 + -6x = 0 + -4x 8 + -6x = -4x Solving 8 + -6x = -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. 8 + -6x + 4x = -4x + 4x Combine like terms: -6x + 4x = -2x 8 + -2x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + -2x = 0 Add '-8' to each side of the equation. 8 + -8 + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 0 + -8 -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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