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Simplifying 2 + 3(x + -4) + 5 = 4x + 2(x + -6) Reorder the terms: 2 + 3(-4 + x) + 5 = 4x + 2(x + -6) 2 + (-4 * 3 + x * 3) + 5 = 4x + 2(x + -6) 2 + (-12 + 3x) + 5 = 4x + 2(x + -6) Reorder the terms: 2 + -12 + 5 + 3x = 4x + 2(x + -6) Combine like terms: 2 + -12 = -10 -10 + 5 + 3x = 4x + 2(x + -6) Combine like terms: -10 + 5 = -5 -5 + 3x = 4x + 2(x + -6) Reorder the terms: -5 + 3x = 4x + 2(-6 + x) -5 + 3x = 4x + (-6 * 2 + x * 2) -5 + 3x = 4x + (-12 + 2x) Reorder the terms: -5 + 3x = -12 + 4x + 2x Combine like terms: 4x + 2x = 6x -5 + 3x = -12 + 6x Solving -5 + 3x = -12 + 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. -5 + 3x + -6x = -12 + 6x + -6x Combine like terms: 3x + -6x = -3x -5 + -3x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -3x = -12 + 0 -5 + -3x = -12 Add '5' to each side of the equation. -5 + 5 + -3x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -12 + 5 -3x = -12 + 5 Combine like terms: -12 + 5 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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