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Simplifying 0.4x + -0.5(2x + 7) = 0.7(x + 4) Reorder the terms: 0.4x + -0.5(7 + 2x) = 0.7(x + 4) 0.4x + (7 * -0.5 + 2x * -0.5) = 0.7(x + 4) 0.4x + (-3.5 + -1x) = 0.7(x + 4) Reorder the terms: -3.5 + 0.4x + -1x = 0.7(x + 4) Combine like terms: 0.4x + -1x = -0.6x -3.5 + -0.6x = 0.7(x + 4) Reorder the terms: -3.5 + -0.6x = 0.7(4 + x) -3.5 + -0.6x = (4 * 0.7 + x * 0.7) -3.5 + -0.6x = (2.8 + 0.7x) Solving -3.5 + -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. -3.5 + -0.6x + -0.7x = 2.8 + 0.7x + -0.7x Combine like terms: -0.6x + -0.7x = -1.3x -3.5 + -1.3x = 2.8 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -3.5 + -1.3x = 2.8 + 0.0 -3.5 + -1.3x = 2.8 Add '3.5' to each side of the equation. -3.5 + 3.5 + -1.3x = 2.8 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -1.3x = 2.8 + 3.5 -1.3x = 2.8 + 3.5 Combine like terms: 2.8 + 3.5 = 6.3 -1.3x = 6.3 Divide each side by '-1.3'. x = -4.846153846 Simplifying x = -4.846153846
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