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Simplifying 1.4x + 3(0.2x + -4) = 2.1x + 5.6 Reorder the terms: 1.4x + 3(-4 + 0.2x) = 2.1x + 5.6 1.4x + (-4 * 3 + 0.2x * 3) = 2.1x + 5.6 1.4x + (-12 + 0.6x) = 2.1x + 5.6 Reorder the terms: -12 + 1.4x + 0.6x = 2.1x + 5.6 Combine like terms: 1.4x + 0.6x = 2x -12 + 2x = 2.1x + 5.6 Reorder the terms: -12 + 2x = 5.6 + 2.1x Solving -12 + 2x = 5.6 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -12 + 2x + -2.1x = 5.6 + 2.1x + -2.1x Combine like terms: 2x + -2.1x = -0.1x -12 + -0.1x = 5.6 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -12 + -0.1x = 5.6 + 0.0 -12 + -0.1x = 5.6 Add '12' to each side of the equation. -12 + 12 + -0.1x = 5.6 + 12 Combine like terms: -12 + 12 = 0 0 + -0.1x = 5.6 + 12 -0.1x = 5.6 + 12 Combine like terms: 5.6 + 12 = 17.6 -0.1x = 17.6 Divide each side by '-0.1'. x = -176 Simplifying x = -176
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