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Simplifying 4 * 7 + -4 * 10 = 4(x + -10) Multiply 4 * 7 28 + -4 * 10 = 4(x + -10) Multiply -4 * 10 28 + -40 = 4(x + -10) Combine like terms: 28 + -40 = -12 -12 = 4(x + -10) Reorder the terms: -12 = 4(-10 + x) -12 = (-10 * 4 + x * 4) -12 = (-40 + 4x) Solving -12 = -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. -12 + -4x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -4x = -40 + 0 -12 + -4x = -40 Add '12' to each side of the equation. -12 + 12 + -4x = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -40 + 12 -4x = -40 + 12 Combine like terms: -40 + 12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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