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Simplifying -2(0.6x + 1.4) + -2(x + 4) = 3x + -9x + -1(-1) + -1(9) Reorder the terms: -2(1.4 + 0.6x) + -2(x + 4) = 3x + -9x + -1(-1) + -1(9) (1.4 * -2 + 0.6x * -2) + -2(x + 4) = 3x + -9x + -1(-1) + -1(9) (-2.8 + -1.2x) + -2(x + 4) = 3x + -9x + -1(-1) + -1(9) Reorder the terms: -2.8 + -1.2x + -2(4 + x) = 3x + -9x + -1(-1) + -1(9) -2.8 + -1.2x + (4 * -2 + x * -2) = 3x + -9x + -1(-1) + -1(9) -2.8 + -1.2x + (-8 + -2x) = 3x + -9x + -1(-1) + -1(9) Reorder the terms: -2.8 + -8 + -1.2x + -2x = 3x + -9x + -1(-1) + -1(9) Combine like terms: -2.8 + -8 = -10.8 -10.8 + -1.2x + -2x = 3x + -9x + -1(-1) + -1(9) Combine like terms: -1.2x + -2x = -3.2x -10.8 + -3.2x = 3x + -9x + -1(-1) + -1(9) Multiply -1 * -1 -10.8 + -3.2x = 3x + -9x + 1 + -1(9) Multiply -1 * 9 -10.8 + -3.2x = 3x + -9x + 1 + -9 Reorder the terms: -10.8 + -3.2x = 1 + -9 + 3x + -9x Combine like terms: 1 + -9 = -8 -10.8 + -3.2x = -8 + 3x + -9x Combine like terms: 3x + -9x = -6x -10.8 + -3.2x = -8 + -6x Solving -10.8 + -3.2x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10.8 + -3.2x + 6x = -8 + -6x + 6x Combine like terms: -3.2x + 6x = 2.8x -10.8 + 2.8x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -10.8 + 2.8x = -8 + 0 -10.8 + 2.8x = -8 Add '10.8' to each side of the equation. -10.8 + 10.8 + 2.8x = -8 + 10.8 Combine like terms: -10.8 + 10.8 = 0.0 0.0 + 2.8x = -8 + 10.8 2.8x = -8 + 10.8 Combine like terms: -8 + 10.8 = 2.8 2.8x = 2.8 Divide each side by '2.8'. x = 1 Simplifying x = 1
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