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Simplifying 4(x + -3) + 6 = 6(x + -2) + 3x + 5 Reorder the terms: 4(-3 + x) + 6 = 6(x + -2) + 3x + 5 (-3 * 4 + x * 4) + 6 = 6(x + -2) + 3x + 5 (-12 + 4x) + 6 = 6(x + -2) + 3x + 5 Reorder the terms: -12 + 6 + 4x = 6(x + -2) + 3x + 5 Combine like terms: -12 + 6 = -6 -6 + 4x = 6(x + -2) + 3x + 5 Reorder the terms: -6 + 4x = 6(-2 + x) + 3x + 5 -6 + 4x = (-2 * 6 + x * 6) + 3x + 5 -6 + 4x = (-12 + 6x) + 3x + 5 Reorder the terms: -6 + 4x = -12 + 5 + 6x + 3x Combine like terms: -12 + 5 = -7 -6 + 4x = -7 + 6x + 3x Combine like terms: 6x + 3x = 9x -6 + 4x = -7 + 9x Solving -6 + 4x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 4x + -9x = -7 + 9x + -9x Combine like terms: 4x + -9x = -5x -6 + -5x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -5x = -7 + 0 -6 + -5x = -7 Add '6' to each side of the equation. -6 + 6 + -5x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -7 + 6 -5x = -7 + 6 Combine like terms: -7 + 6 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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