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Simplifying 4(x + -3) + 5 = x + 5(x + -2) Reorder the terms: 4(-3 + x) + 5 = x + 5(x + -2) (-3 * 4 + x * 4) + 5 = x + 5(x + -2) (-12 + 4x) + 5 = x + 5(x + -2) Reorder the terms: -12 + 5 + 4x = x + 5(x + -2) Combine like terms: -12 + 5 = -7 -7 + 4x = x + 5(x + -2) Reorder the terms: -7 + 4x = x + 5(-2 + x) -7 + 4x = x + (-2 * 5 + x * 5) -7 + 4x = x + (-10 + 5x) Reorder the terms: -7 + 4x = -10 + x + 5x Combine like terms: x + 5x = 6x -7 + 4x = -10 + 6x Solving -7 + 4x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 4x + -6x = -10 + 6x + -6x Combine like terms: 4x + -6x = -2x -7 + -2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -2x = -10 + 0 -7 + -2x = -10 Add '7' to each side of the equation. -7 + 7 + -2x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -10 + 7 -2x = -10 + 7 Combine like terms: -10 + 7 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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