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Simplifying 4 + -5(x + 2) = 6(x + -2) + 4x Reorder the terms: 4 + -5(2 + x) = 6(x + -2) + 4x 4 + (2 * -5 + x * -5) = 6(x + -2) + 4x 4 + (-10 + -5x) = 6(x + -2) + 4x Combine like terms: 4 + -10 = -6 -6 + -5x = 6(x + -2) + 4x Reorder the terms: -6 + -5x = 6(-2 + x) + 4x -6 + -5x = (-2 * 6 + x * 6) + 4x -6 + -5x = (-12 + 6x) + 4x Combine like terms: 6x + 4x = 10x -6 + -5x = -12 + 10x Solving -6 + -5x = -12 + 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. -6 + -5x + -10x = -12 + 10x + -10x Combine like terms: -5x + -10x = -15x -6 + -15x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -15x = -12 + 0 -6 + -15x = -12 Add '6' to each side of the equation. -6 + 6 + -15x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = -12 + 6 -15x = -12 + 6 Combine like terms: -12 + 6 = -6 -15x = -6 Divide each side by '-15'. x = 0.4 Simplifying x = 0.4
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