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Simplifying 2(3x + -7) + -3 = 4(x + -10) Reorder the terms: 2(-7 + 3x) + -3 = 4(x + -10) (-7 * 2 + 3x * 2) + -3 = 4(x + -10) (-14 + 6x) + -3 = 4(x + -10) Reorder the terms: -14 + -3 + 6x = 4(x + -10) Combine like terms: -14 + -3 = -17 -17 + 6x = 4(x + -10) Reorder the terms: -17 + 6x = 4(-10 + x) -17 + 6x = (-10 * 4 + x * 4) -17 + 6x = (-40 + 4x) Solving -17 + 6x = -40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 6x + -4x = -40 + 4x + -4x Combine like terms: 6x + -4x = 2x -17 + 2x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 2x = -40 + 0 -17 + 2x = -40 Add '17' to each side of the equation. -17 + 17 + 2x = -40 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -40 + 17 2x = -40 + 17 Combine like terms: -40 + 17 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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