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Simplifying X + -4(x + 3) = 0.3(3x + 3) + -6 Reorder the terms: X + -4(3 + x) = 0.3(3x + 3) + -6 X + (3 * -4 + x * -4) = 0.3(3x + 3) + -6 X + (-12 + -4x) = 0.3(3x + 3) + -6 Reorder the terms: -12 + X + -4x = 0.3(3x + 3) + -6 Reorder the terms: -12 + X + -4x = 0.3(3 + 3x) + -6 -12 + X + -4x = (3 * 0.3 + 3x * 0.3) + -6 -12 + X + -4x = (0.9 + 0.9x) + -6 Reorder the terms: -12 + X + -4x = 0.9 + -6 + 0.9x Combine like terms: 0.9 + -6 = -5.1 -12 + X + -4x = -5.1 + 0.9x Solving -12 + X + -4x = -5.1 + 0.9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + X + 12 + -4x = -5.1 + 12 + 0.9x Reorder the terms: -12 + 12 + X + -4x = -5.1 + 12 + 0.9x Combine like terms: -12 + 12 = 0 0 + X + -4x = -5.1 + 12 + 0.9x X + -4x = -5.1 + 12 + 0.9x Combine like terms: -5.1 + 12 = 6.9 X + -4x = 6.9 + 0.9x Add '4x' to each side of the equation. X + -4x + 4x = 6.9 + 0.9x + 4x Combine like terms: -4x + 4x = 0 X + 0 = 6.9 + 0.9x + 4x X = 6.9 + 0.9x + 4x Combine like terms: 0.9x + 4x = 4.9x X = 6.9 + 4.9x Simplifying X = 6.9 + 4.9x
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