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Simplifying 0.2(4x + 3) + -1.4(x + -4) = 5 + -0.9x Reorder the terms: 0.2(3 + 4x) + -1.4(x + -4) = 5 + -0.9x (3 * 0.2 + 4x * 0.2) + -1.4(x + -4) = 5 + -0.9x (0.6 + 0.8x) + -1.4(x + -4) = 5 + -0.9x Reorder the terms: 0.6 + 0.8x + -1.4(-4 + x) = 5 + -0.9x 0.6 + 0.8x + (-4 * -1.4 + x * -1.4) = 5 + -0.9x 0.6 + 0.8x + (5.6 + -1.4x) = 5 + -0.9x Reorder the terms: 0.6 + 5.6 + 0.8x + -1.4x = 5 + -0.9x Combine like terms: 0.6 + 5.6 = 6.2 6.2 + 0.8x + -1.4x = 5 + -0.9x Combine like terms: 0.8x + -1.4x = -0.6x 6.2 + -0.6x = 5 + -0.9x Solving 6.2 + -0.6x = 5 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 6.2 + -0.6x + 0.9x = 5 + -0.9x + 0.9x Combine like terms: -0.6x + 0.9x = 0.3x 6.2 + 0.3x = 5 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 6.2 + 0.3x = 5 + 0.0 6.2 + 0.3x = 5 Add '-6.2' to each side of the equation. 6.2 + -6.2 + 0.3x = 5 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + 0.3x = 5 + -6.2 0.3x = 5 + -6.2 Combine like terms: 5 + -6.2 = -1.2 0.3x = -1.2 Divide each side by '0.3'. x = -4 Simplifying x = -4
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