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Simplifying 0.6x + -6 = -0.4(x + -4) + -7 Reorder the terms: -6 + 0.6x = -0.4(x + -4) + -7 Reorder the terms: -6 + 0.6x = -0.4(-4 + x) + -7 -6 + 0.6x = (-4 * -0.4 + x * -0.4) + -7 -6 + 0.6x = (1.6 + -0.4x) + -7 Reorder the terms: -6 + 0.6x = 1.6 + -7 + -0.4x Combine like terms: 1.6 + -7 = -5.4 -6 + 0.6x = -5.4 + -0.4x Solving -6 + 0.6x = -5.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -6 + 0.6x + 0.4x = -5.4 + -0.4x + 0.4x Combine like terms: 0.6x + 0.4x = 1x -6 + 1x = -5.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -6 + 1x = -5.4 + 0.0 -6 + 1x = -5.4 Add '6' to each side of the equation. -6 + 6 + 1x = -5.4 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -5.4 + 6 1x = -5.4 + 6 Combine like terms: -5.4 + 6 = 0.6 1x = 0.6 Divide each side by '1'. x = 0.6 Simplifying x = 0.6
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