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Simplifying 2(x + -5) = -6 + 4(3x + -12) Reorder the terms: 2(-5 + x) = -6 + 4(3x + -12) (-5 * 2 + x * 2) = -6 + 4(3x + -12) (-10 + 2x) = -6 + 4(3x + -12) Reorder the terms: -10 + 2x = -6 + 4(-12 + 3x) -10 + 2x = -6 + (-12 * 4 + 3x * 4) -10 + 2x = -6 + (-48 + 12x) Combine like terms: -6 + -48 = -54 -10 + 2x = -54 + 12x Solving -10 + 2x = -54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 2x + -12x = -54 + 12x + -12x Combine like terms: 2x + -12x = -10x -10 + -10x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -10x = -54 + 0 -10 + -10x = -54 Add '10' to each side of the equation. -10 + 10 + -10x = -54 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = -54 + 10 -10x = -54 + 10 Combine like terms: -54 + 10 = -44 -10x = -44 Divide each side by '-10'. x = 4.4 Simplifying x = 4.4
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