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Simplifying 4(3x + -44) = 4(2x + -10) Reorder the terms: 4(-44 + 3x) = 4(2x + -10) (-44 * 4 + 3x * 4) = 4(2x + -10) (-176 + 12x) = 4(2x + -10) Reorder the terms: -176 + 12x = 4(-10 + 2x) -176 + 12x = (-10 * 4 + 2x * 4) -176 + 12x = (-40 + 8x) Solving -176 + 12x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -176 + 12x + -8x = -40 + 8x + -8x Combine like terms: 12x + -8x = 4x -176 + 4x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -176 + 4x = -40 + 0 -176 + 4x = -40 Add '176' to each side of the equation. -176 + 176 + 4x = -40 + 176 Combine like terms: -176 + 176 = 0 0 + 4x = -40 + 176 4x = -40 + 176 Combine like terms: -40 + 176 = 136 4x = 136 Divide each side by '4'. x = 34 Simplifying x = 34
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