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Simplifying 7 + 4(x + -10) = 15 + 9(x + -3) Reorder the terms: 7 + 4(-10 + x) = 15 + 9(x + -3) 7 + (-10 * 4 + x * 4) = 15 + 9(x + -3) 7 + (-40 + 4x) = 15 + 9(x + -3) Combine like terms: 7 + -40 = -33 -33 + 4x = 15 + 9(x + -3) Reorder the terms: -33 + 4x = 15 + 9(-3 + x) -33 + 4x = 15 + (-3 * 9 + x * 9) -33 + 4x = 15 + (-27 + 9x) Combine like terms: 15 + -27 = -12 -33 + 4x = -12 + 9x Solving -33 + 4x = -12 + 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. -33 + 4x + -9x = -12 + 9x + -9x Combine like terms: 4x + -9x = -5x -33 + -5x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -33 + -5x = -12 + 0 -33 + -5x = -12 Add '33' to each side of the equation. -33 + 33 + -5x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -5x = -12 + 33 -5x = -12 + 33 Combine like terms: -12 + 33 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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