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Simplifying -10x + 3(x + -4) + 6x = 5x + -48 Reorder the terms: -10x + 3(-4 + x) + 6x = 5x + -48 -10x + (-4 * 3 + x * 3) + 6x = 5x + -48 -10x + (-12 + 3x) + 6x = 5x + -48 Reorder the terms: -12 + -10x + 3x + 6x = 5x + -48 Combine like terms: -10x + 3x = -7x -12 + -7x + 6x = 5x + -48 Combine like terms: -7x + 6x = -1x -12 + -1x = 5x + -48 Reorder the terms: -12 + -1x = -48 + 5x Solving -12 + -1x = -48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -1x + -5x = -48 + 5x + -5x Combine like terms: -1x + -5x = -6x -12 + -6x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -6x = -48 + 0 -12 + -6x = -48 Add '12' to each side of the equation. -12 + 12 + -6x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -48 + 12 -6x = -48 + 12 Combine like terms: -48 + 12 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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