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Simplifying 4(2 + x) + -3(x + 5) = -4 + 6x (2 * 4 + x * 4) + -3(x + 5) = -4 + 6x (8 + 4x) + -3(x + 5) = -4 + 6x Reorder the terms: 8 + 4x + -3(5 + x) = -4 + 6x 8 + 4x + (5 * -3 + x * -3) = -4 + 6x 8 + 4x + (-15 + -3x) = -4 + 6x Reorder the terms: 8 + -15 + 4x + -3x = -4 + 6x Combine like terms: 8 + -15 = -7 -7 + 4x + -3x = -4 + 6x Combine like terms: 4x + -3x = 1x -7 + 1x = -4 + 6x Solving -7 + 1x = -4 + 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. -7 + 1x + -6x = -4 + 6x + -6x Combine like terms: 1x + -6x = -5x -7 + -5x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -5x = -4 + 0 -7 + -5x = -4 Add '7' to each side of the equation. -7 + 7 + -5x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -4 + 7 -5x = -4 + 7 Combine like terms: -4 + 7 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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