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Simplifying 0.4x + -0.5(2x + 3) = -0.7(x + 4) Reorder the terms: 0.4x + -0.5(3 + 2x) = -0.7(x + 4) 0.4x + (3 * -0.5 + 2x * -0.5) = -0.7(x + 4) 0.4x + (-1.5 + -1x) = -0.7(x + 4) Reorder the terms: -1.5 + 0.4x + -1x = -0.7(x + 4) Combine like terms: 0.4x + -1x = -0.6x -1.5 + -0.6x = -0.7(x + 4) Reorder the terms: -1.5 + -0.6x = -0.7(4 + x) -1.5 + -0.6x = (4 * -0.7 + x * -0.7) -1.5 + -0.6x = (-2.8 + -0.7x) Solving -1.5 + -0.6x = -2.8 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. -1.5 + -0.6x + 0.7x = -2.8 + -0.7x + 0.7x Combine like terms: -0.6x + 0.7x = 0.1x -1.5 + 0.1x = -2.8 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -1.5 + 0.1x = -2.8 + 0.0 -1.5 + 0.1x = -2.8 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.1x = -2.8 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.1x = -2.8 + 1.5 0.1x = -2.8 + 1.5 Combine like terms: -2.8 + 1.5 = -1.3 0.1x = -1.3 Divide each side by '0.1'. x = -13 Simplifying x = -13
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